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Finding the Fourth Proportional to 461,500.53, 636,902.68 and 257,591.13

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Solution

The fourth proportional to 461,500.53, 636,902.68 and 257,591.13 is: 355,493.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,500.53 : 636,902.68 = 257,591.13 : x
  2. Step 2: Convert to fraction form
    461,500.53/636,902.68 = 257,591.13/x
  3. Step 3: Cross multiply
    461,500.53x = 636,902.68 × 257,591.13
  4. Step 4: Simplify right side
    461,500.53x = 164,060,481,041.23
  5. Step 5: Solve for x
    x = 164,060,481,041.23/461,500.53
  6. Step 6: Final answer
    x = 355,493.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.