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Finding the Fourth Proportional to 462,344.64, 693,320.04 and 181,665

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Solution

The fourth proportional to 462,344.64, 693,320.04 and 181,665 is: 272,420.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,344.64 : 693,320.04 = 181,665 : x
  2. Step 2: Convert to fraction form
    462,344.64/693,320.04 = 181,665/x
  3. Step 3: Cross multiply
    462,344.64x = 693,320.04 × 181,665
  4. Step 4: Simplify right side
    462,344.64x = 125,951,985,066.60
  5. Step 5: Solve for x
    x = 125,951,985,066.60/462,344.64
  6. Step 6: Final answer
    x = 272,420.13

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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.