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Finding the Fourth Proportional to 282,251.52, 425,066.88 and 257,057.28

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Solution

The fourth proportional to 282,251.52, 425,066.88 and 257,057.28 is: 387,124.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,251.52 : 425,066.88 = 257,057.28 : x
  2. Step 2: Convert to fraction form
    282,251.52/425,066.88 = 257,057.28/x
  3. Step 3: Cross multiply
    282,251.52x = 425,066.88 × 257,057.28
  4. Step 4: Simplify right side
    282,251.52x = 109,266,535,990.89
  5. Step 5: Solve for x
    x = 109,266,535,990.89/282,251.52
  6. Step 6: Final answer
    x = 387,124.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.