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Finding the Fourth Proportional to 474,654.75, 712,098.77 and 142,230.75

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Solution

The fourth proportional to 474,654.75, 712,098.77 and 142,230.75 is: 213,381.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,654.75 : 712,098.77 = 142,230.75 : x
  2. Step 2: Convert to fraction form
    474,654.75/712,098.77 = 142,230.75/x
  3. Step 3: Cross multiply
    474,654.75x = 712,098.77 × 142,230.75
  4. Step 4: Simplify right side
    474,654.75x = 101,282,342,131.18
  5. Step 5: Solve for x
    x = 101,282,342,131.18/474,654.75
  6. Step 6: Final answer
    x = 213,381.08

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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.