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Finding the Fourth Proportional to 509,224.80, 763,837.20 and 256,407.60

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Solution

The fourth proportional to 509,224.80, 763,837.20 and 256,407.60 is: 384,611.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,224.80 : 763,837.20 = 256,407.60 : x
  2. Step 2: Convert to fraction form
    509,224.80/763,837.20 = 256,407.60/x
  3. Step 3: Cross multiply
    509,224.80x = 763,837.20 × 256,407.60
  4. Step 4: Simplify right side
    509,224.80x = 195,853,663,242.72
  5. Step 5: Solve for x
    x = 195,853,663,242.72/509,224.80
  6. Step 6: Final answer
    x = 384,611.40

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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.