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Finding the Fourth Proportional to 384,764.58, 577,146.06 and 100,454.04

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Solution

The fourth proportional to 384,764.58, 577,146.06 and 100,454.04 is: 150,680.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,764.58 : 577,146.06 = 100,454.04 : x
  2. Step 2: Convert to fraction form
    384,764.58/577,146.06 = 100,454.04/x
  3. Step 3: Cross multiply
    384,764.58x = 577,146.06 × 100,454.04
  4. Step 4: Simplify right side
    384,764.58x = 57,976,653,397.08
  5. Step 5: Solve for x
    x = 57,976,653,397.08/384,764.58
  6. Step 6: Final answer
    x = 150,680.85

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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.