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Finding the Fourth Proportional to 375,126.71, 517,674.87 and 205,360.83

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Solution

The fourth proportional to 375,126.71, 517,674.87 and 205,360.83 is: 283,397.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,126.71 : 517,674.87 = 205,360.83 : x
  2. Step 2: Convert to fraction form
    375,126.71/517,674.87 = 205,360.83/x
  3. Step 3: Cross multiply
    375,126.71x = 517,674.87 × 205,360.83
  4. Step 4: Simplify right side
    375,126.71x = 106,310,140,973.34
  5. Step 5: Solve for x
    x = 106,310,140,973.34/375,126.71
  6. Step 6: Final answer
    x = 283,397.95

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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.