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Finding the Fourth Proportional to 541,374.57, 747,098.33 and 299,673.81

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Solution

The fourth proportional to 541,374.57, 747,098.33 and 299,673.81 is: 413,550.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,374.57 : 747,098.33 = 299,673.81 : x
  2. Step 2: Convert to fraction form
    541,374.57/747,098.33 = 299,673.81/x
  3. Step 3: Cross multiply
    541,374.57x = 747,098.33 × 299,673.81
  4. Step 4: Simplify right side
    541,374.57x = 223,885,801,497.37
  5. Step 5: Solve for x
    x = 223,885,801,497.37/541,374.57
  6. Step 6: Final answer
    x = 413,550.64

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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.