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Finding the Fourth Proportional to 512,153.96, 706,772.57 and 282,711.38

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Solution

The fourth proportional to 512,153.96, 706,772.57 and 282,711.38 is: 390,141.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,153.96 : 706,772.57 = 282,711.38 : x
  2. Step 2: Convert to fraction form
    512,153.96/706,772.57 = 282,711.38/x
  3. Step 3: Cross multiply
    512,153.96x = 706,772.57 × 282,711.38
  4. Step 4: Simplify right side
    512,153.96x = 199,812,643,663.43
  5. Step 5: Solve for x
    x = 199,812,643,663.43/512,153.96
  6. Step 6: Final answer
    x = 390,141.76

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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.