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Finding the Fourth Proportional to 282,347.69, 389,822.15 and 175,032.41

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Solution

The fourth proportional to 282,347.69, 389,822.15 and 175,032.41 is: 241,657.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,347.69 : 389,822.15 = 175,032.41 : x
  2. Step 2: Convert to fraction form
    282,347.69/389,822.15 = 175,032.41/x
  3. Step 3: Cross multiply
    282,347.69x = 389,822.15 × 175,032.41
  4. Step 4: Simplify right side
    282,347.69x = 68,231,508,874.35
  5. Step 5: Solve for x
    x = 68,231,508,874.35/282,347.69
  6. Step 6: Final answer
    x = 241,657.76

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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.