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Finding the Fourth Proportional to 417,459.13, 625,690.47 and 227,967.20

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Solution

The fourth proportional to 417,459.13, 625,690.47 and 227,967.20 is: 341,678.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,459.13 : 625,690.47 = 227,967.20 : x
  2. Step 2: Convert to fraction form
    417,459.13/625,690.47 = 227,967.20/x
  3. Step 3: Cross multiply
    417,459.13x = 625,690.47 × 227,967.20
  4. Step 4: Simplify right side
    417,459.13x = 142,636,900,244.30
  5. Step 5: Solve for x
    x = 142,636,900,244.30/417,459.13
  6. Step 6: Final answer
    x = 341,678.72

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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.