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Finding the Fourth Proportional to 287,727.60, 431,591.40 and 260,171.40

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Solution

The fourth proportional to 287,727.60, 431,591.40 and 260,171.40 is: 390,257.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,727.60 : 431,591.40 = 260,171.40 : x
  2. Step 2: Convert to fraction form
    287,727.60/431,591.40 = 260,171.40/x
  3. Step 3: Cross multiply
    287,727.60x = 431,591.40 × 260,171.40
  4. Step 4: Simplify right side
    287,727.60x = 112,287,738,765.96
  5. Step 5: Solve for x
    x = 112,287,738,765.96/287,727.60
  6. Step 6: Final answer
    x = 390,257.10

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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.