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Finding the Fourth Proportional to 442,833.84, 664,261.02 and 158,543.82

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Solution

The fourth proportional to 442,833.84, 664,261.02 and 158,543.82 is: 237,819.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,833.84 : 664,261.02 = 158,543.82 : x
  2. Step 2: Convert to fraction form
    442,833.84/664,261.02 = 158,543.82/x
  3. Step 3: Cross multiply
    442,833.84x = 664,261.02 × 158,543.82
  4. Step 4: Simplify right side
    442,833.84x = 105,314,479,587.90
  5. Step 5: Solve for x
    x = 105,314,479,587.90/442,833.84
  6. Step 6: Final answer
    x = 237,819.40

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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.