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Finding the Fourth Proportional to 526,098.81, 726,016.04 and 284,381.39

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Solution

The fourth proportional to 526,098.81, 726,016.04 and 284,381.39 is: 392,446.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,098.81 : 726,016.04 = 284,381.39 : x
  2. Step 2: Convert to fraction form
    526,098.81/726,016.04 = 284,381.39/x
  3. Step 3: Cross multiply
    526,098.81x = 726,016.04 × 284,381.39
  4. Step 4: Simplify right side
    526,098.81x = 206,465,445,565.51
  5. Step 5: Solve for x
    x = 206,465,445,565.51/526,098.81
  6. Step 6: Final answer
    x = 392,446.14

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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.