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Finding the Fourth Proportional to 287,565.60, 431,348.40 and 163,149.60

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Solution

The fourth proportional to 287,565.60, 431,348.40 and 163,149.60 is: 244,724.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,565.60 : 431,348.40 = 163,149.60 : x
  2. Step 2: Convert to fraction form
    287,565.60/431,348.40 = 163,149.60/x
  3. Step 3: Cross multiply
    287,565.60x = 431,348.40 × 163,149.60
  4. Step 4: Simplify right side
    287,565.60x = 70,374,318,920.64
  5. Step 5: Solve for x
    x = 70,374,318,920.64/287,565.60
  6. Step 6: Final answer
    x = 244,724.40

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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.