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Finding the Fourth Proportional to 385,842.83, 532,463.52 and 216,076.95

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Solution

The fourth proportional to 385,842.83, 532,463.52 and 216,076.95 is: 298,186.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,842.83 : 532,463.52 = 216,076.95 : x
  2. Step 2: Convert to fraction form
    385,842.83/532,463.52 = 216,076.95/x
  3. Step 3: Cross multiply
    385,842.83x = 532,463.52 × 216,076.95
  4. Step 4: Simplify right side
    385,842.83x = 115,053,093,387.86
  5. Step 5: Solve for x
    x = 115,053,093,387.86/385,842.83
  6. Step 6: Final answer
    x = 298,186.43

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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.