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Finding the Fourth Proportional to 375,132.57, 517,682.95 and 205,366.69

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Solution

The fourth proportional to 375,132.57, 517,682.95 and 205,366.69 is: 283,406.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,132.57 : 517,682.95 = 205,366.69 : x
  2. Step 2: Convert to fraction form
    375,132.57/517,682.95 = 205,366.69/x
  3. Step 3: Cross multiply
    375,132.57x = 517,682.95 × 205,366.69
  4. Step 4: Simplify right side
    375,132.57x = 106,314,834,044.62
  5. Step 5: Solve for x
    x = 106,314,834,044.62/375,132.57
  6. Step 6: Final answer
    x = 283,406.04

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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.