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Finding the Fourth Proportional to 647,999.70, 971,999.55 and 411,512.10

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Solution

The fourth proportional to 647,999.70, 971,999.55 and 411,512.10 is: 617,268.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,999.70 : 971,999.55 = 411,512.10 : x
  2. Step 2: Convert to fraction form
    647,999.70/971,999.55 = 411,512.10/x
  3. Step 3: Cross multiply
    647,999.70x = 971,999.55 × 411,512.10
  4. Step 4: Simplify right side
    647,999.70x = 399,989,576,019.56
  5. Step 5: Solve for x
    x = 399,989,576,019.56/647,999.70
  6. Step 6: Final answer
    x = 617,268.15

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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.