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Finding the Fourth Proportional to 475,654.30, 713,405.48 and 138,616.12

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Solution

The fourth proportional to 475,654.30, 713,405.48 and 138,616.12 is: 207,902.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,654.30 : 713,405.48 = 138,616.12 : x
  2. Step 2: Convert to fraction form
    475,654.30/713,405.48 = 138,616.12/x
  3. Step 3: Cross multiply
    475,654.30x = 713,405.48 × 138,616.12
  4. Step 4: Simplify right side
    475,654.30x = 98,889,499,624.34
  5. Step 5: Solve for x
    x = 98,889,499,624.34/475,654.30
  6. Step 6: Final answer
    x = 207,902.04

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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.