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Finding the Fourth Proportional to 375,240.80, 517,831.44 and 205,473.44

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Solution

The fourth proportional to 375,240.80, 517,831.44 and 205,473.44 is: 283,552.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,240.80 : 517,831.44 = 205,473.44 : x
  2. Step 2: Convert to fraction form
    375,240.80/517,831.44 = 205,473.44/x
  3. Step 3: Cross multiply
    375,240.80x = 517,831.44 × 205,473.44
  4. Step 4: Simplify right side
    375,240.80x = 106,400,607,316.95
  5. Step 5: Solve for x
    x = 106,400,607,316.95/375,240.80
  6. Step 6: Final answer
    x = 283,552.87

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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.