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Finding the Fourth Proportional to 418,442.65, 577,728.92 and 321,473.80

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Solution

The fourth proportional to 418,442.65, 577,728.92 and 321,473.80 is: 443,847.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,442.65 : 577,728.92 = 321,473.80 : x
  2. Step 2: Convert to fraction form
    418,442.65/577,728.92 = 321,473.80/x
  3. Step 3: Cross multiply
    418,442.65x = 577,728.92 × 321,473.80
  4. Step 4: Simplify right side
    418,442.65x = 185,724,711,282.30
  5. Step 5: Solve for x
    x = 185,724,711,282.30/418,442.65
  6. Step 6: Final answer
    x = 443,847.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.