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Finding the Fourth Proportional to 474,654.25, 712,098.02 and 142,230.25

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Solution

The fourth proportional to 474,654.25, 712,098.02 and 142,230.25 is: 213,380.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,654.25 : 712,098.02 = 142,230.25 : x
  2. Step 2: Convert to fraction form
    474,654.25/712,098.02 = 142,230.25/x
  3. Step 3: Cross multiply
    474,654.25x = 712,098.02 × 142,230.25
  4. Step 4: Simplify right side
    474,654.25x = 101,281,879,409.11
  5. Step 5: Solve for x
    x = 101,281,879,409.11/474,654.25
  6. Step 6: Final answer
    x = 213,380.33

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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.