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Finding the Fourth Proportional to 687,446.15, 948,789.71 and 400,966.23

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Solution

The fourth proportional to 687,446.15, 948,789.71 and 400,966.23 is: 553,399.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,446.15 : 948,789.71 = 400,966.23 : x
  2. Step 2: Convert to fraction form
    687,446.15/948,789.71 = 400,966.23/x
  3. Step 3: Cross multiply
    687,446.15x = 948,789.71 × 400,966.23
  4. Step 4: Simplify right side
    687,446.15x = 380,432,632,580.29
  5. Step 5: Solve for x
    x = 380,432,632,580.29/687,446.15
  6. Step 6: Final answer
    x = 553,399.90

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