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Finding the Fourth Proportional to 385,182.98, 577,787.22 and 132,460.94

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Solution

The fourth proportional to 385,182.98, 577,787.22 and 132,460.94 is: 198,695.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,182.98 : 577,787.22 = 132,460.94 : x
  2. Step 2: Convert to fraction form
    385,182.98/577,787.22 = 132,460.94/x
  3. Step 3: Cross multiply
    385,182.98x = 577,787.22 × 132,460.94
  4. Step 4: Simplify right side
    385,182.98x = 76,534,238,281.19
  5. Step 5: Solve for x
    x = 76,534,238,281.19/385,182.98
  6. Step 6: Final answer
    x = 198,695.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.