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Finding the Fourth Proportional to 513,715.80, 770,573.70 and 371,998.20

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Solution

The fourth proportional to 513,715.80, 770,573.70 and 371,998.20 is: 557,997.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,715.80 : 770,573.70 = 371,998.20 : x
  2. Step 2: Convert to fraction form
    513,715.80/770,573.70 = 371,998.20/x
  3. Step 3: Cross multiply
    513,715.80x = 770,573.70 × 371,998.20
  4. Step 4: Simplify right side
    513,715.80x = 286,652,029,367.34
  5. Step 5: Solve for x
    x = 286,652,029,367.34/513,715.80
  6. Step 6: Final answer
    x = 557,997.30

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.