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Finding the Fourth Proportional to 419,150.70, 577,326.15 and 322,169.13

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Solution

The fourth proportional to 419,150.70, 577,326.15 and 322,169.13 is: 443,746.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,150.70 : 577,326.15 = 322,169.13 : x
  2. Step 2: Convert to fraction form
    419,150.70/577,326.15 = 322,169.13/x
  3. Step 3: Cross multiply
    419,150.70x = 577,326.15 × 322,169.13
  4. Step 4: Simplify right side
    419,150.70x = 185,996,663,471.75
  5. Step 5: Solve for x
    x = 185,996,663,471.75/419,150.70
  6. Step 6: Final answer
    x = 443,746.52

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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.