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Finding the Fourth Proportional to 764,714.49, 1,055,318.22 and 420,565.47

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Solution

The fourth proportional to 764,714.49, 1,055,318.22 and 420,565.47 is: 580,387.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,714.49 : 1,055,318.22 = 420,565.47 : x
  2. Step 2: Convert to fraction form
    764,714.49/1,055,318.22 = 420,565.47/x
  3. Step 3: Cross multiply
    764,714.49x = 1,055,318.22 × 420,565.47
  4. Step 4: Simplify right side
    764,714.49x = 443,830,403,193.86
  5. Step 5: Solve for x
    x = 443,830,403,193.86/764,714.49
  6. Step 6: Final answer
    x = 580,387.07

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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.