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Finding the Fourth Proportional to 375,046.50, 517,569.04 and 205,276.98

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Solution

The fourth proportional to 375,046.50, 517,569.04 and 205,276.98 is: 283,284.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,046.50 : 517,569.04 = 205,276.98 : x
  2. Step 2: Convert to fraction form
    375,046.50/517,569.04 = 205,276.98/x
  3. Step 3: Cross multiply
    375,046.50x = 517,569.04 × 205,276.98
  4. Step 4: Simplify right side
    375,046.50x = 106,245,009,472.70
  5. Step 5: Solve for x
    x = 106,245,009,472.70/375,046.50
  6. Step 6: Final answer
    x = 283,284.90

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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.