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Finding the Fourth Proportional to 541,585.71, 747,399.96 and 296,580.79

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Solution

The fourth proportional to 541,585.71, 747,399.96 and 296,580.79 is: 409,287.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,585.71 : 747,399.96 = 296,580.79 : x
  2. Step 2: Convert to fraction form
    541,585.71/747,399.96 = 296,580.79/x
  3. Step 3: Cross multiply
    541,585.71x = 747,399.96 × 296,580.79
  4. Step 4: Simplify right side
    541,585.71x = 221,664,471,517.02
  5. Step 5: Solve for x
    x = 221,664,471,517.02/541,585.71
  6. Step 6: Final answer
    x = 409,287.89

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Why These Related Problems?

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