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Finding the Fourth Proportional to 323,913.42, 447,001.20 and 180,669.78

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Solution

The fourth proportional to 323,913.42, 447,001.20 and 180,669.78 is: 249,324.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,913.42 : 447,001.20 = 180,669.78 : x
  2. Step 2: Convert to fraction form
    323,913.42/447,001.20 = 180,669.78/x
  3. Step 3: Cross multiply
    323,913.42x = 447,001.20 × 180,669.78
  4. Step 4: Simplify right side
    323,913.42x = 80,759,608,463.74
  5. Step 5: Solve for x
    x = 80,759,608,463.74/323,913.42
  6. Step 6: Final answer
    x = 249,324.68

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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.