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Finding the Fourth Proportional to 287,565.40, 431,348.10 and 217,581.40

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Solution

The fourth proportional to 287,565.40, 431,348.10 and 217,581.40 is: 326,372.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,565.40 : 431,348.10 = 217,581.40 : x
  2. Step 2: Convert to fraction form
    287,565.40/431,348.10 = 217,581.40/x
  3. Step 3: Cross multiply
    287,565.40x = 431,348.10 × 217,581.40
  4. Step 4: Simplify right side
    287,565.40x = 93,853,323,485.34
  5. Step 5: Solve for x
    x = 93,853,323,485.34/287,565.40
  6. Step 6: Final answer
    x = 326,372.10

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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.