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Finding the Fourth Proportional to 394,920.30, 592,207.65 and 158,184.30

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Solution

The fourth proportional to 394,920.30, 592,207.65 and 158,184.30 is: 237,207.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,920.30 : 592,207.65 = 158,184.30 : x
  2. Step 2: Convert to fraction form
    394,920.30/592,207.65 = 158,184.30/x
  3. Step 3: Cross multiply
    394,920.30x = 592,207.65 × 158,184.30
  4. Step 4: Simplify right side
    394,920.30x = 93,677,952,569.90
  5. Step 5: Solve for x
    x = 93,677,952,569.90/394,920.30
  6. Step 6: Final answer
    x = 237,207.24

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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.