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Finding the Fourth Proportional to 524,116.92, 785,760.66 and 523,471.80

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Solution

The fourth proportional to 524,116.92, 785,760.66 and 523,471.80 is: 784,793.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,116.92 : 785,760.66 = 523,471.80 : x
  2. Step 2: Convert to fraction form
    524,116.92/785,760.66 = 523,471.80/x
  3. Step 3: Cross multiply
    524,116.92x = 785,760.66 × 523,471.80
  4. Step 4: Simplify right side
    524,116.92x = 411,323,547,059.39
  5. Step 5: Solve for x
    x = 411,323,547,059.39/524,116.92
  6. Step 6: Final answer
    x = 784,793.49

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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.