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Finding the Fourth Proportional to 474,654.92, 711,486.65 and 285,114.92

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Solution

The fourth proportional to 474,654.92, 711,486.65 and 285,114.92 is: 427,374.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,654.92 : 711,486.65 = 285,114.92 : x
  2. Step 2: Convert to fraction form
    474,654.92/711,486.65 = 285,114.92/x
  3. Step 3: Cross multiply
    474,654.92x = 711,486.65 × 285,114.92
  4. Step 4: Simplify right side
    474,654.92x = 202,855,454,312.81
  5. Step 5: Solve for x
    x = 202,855,454,312.81/474,654.92
  6. Step 6: Final answer
    x = 427,374.60

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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.