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Finding the Fourth Proportional to 282,356.89, 389,641.84 and 174,924.61

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Solution

The fourth proportional to 282,356.89, 389,641.84 and 174,924.61 is: 241,389.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,356.89 : 389,641.84 = 174,924.61 : x
  2. Step 2: Convert to fraction form
    282,356.89/389,641.84 = 174,924.61/x
  3. Step 3: Cross multiply
    282,356.89x = 389,641.84 × 174,924.61
  4. Step 4: Simplify right side
    282,356.89x = 68,157,948,665.95
  5. Step 5: Solve for x
    x = 68,157,948,665.95/282,356.89
  6. Step 6: Final answer
    x = 241,389.36

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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.