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Finding the Fourth Proportional to 537,098.50, 741,214.02 and 295,391.26

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Solution

The fourth proportional to 537,098.50, 741,214.02 and 295,391.26 is: 407,649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,098.50 : 741,214.02 = 295,391.26 : x
  2. Step 2: Convert to fraction form
    537,098.50/741,214.02 = 295,391.26/x
  3. Step 3: Cross multiply
    537,098.50x = 741,214.02 × 295,391.26
  4. Step 4: Simplify right side
    537,098.50x = 218,948,143,297.47
  5. Step 5: Solve for x
    x = 218,948,143,297.47/537,098.50
  6. Step 6: Final answer
    x = 407,649.89

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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.