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Finding the Fourth Proportional to 382,029.36, 573,158.52 and 154,207.68

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Solution

The fourth proportional to 382,029.36, 573,158.52 and 154,207.68 is: 231,357.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,029.36 : 573,158.52 = 154,207.68 : x
  2. Step 2: Convert to fraction form
    382,029.36/573,158.52 = 154,207.68/x
  3. Step 3: Cross multiply
    382,029.36x = 573,158.52 × 154,207.68
  4. Step 4: Simplify right side
    382,029.36x = 88,385,445,641.43
  5. Step 5: Solve for x
    x = 88,385,445,641.43/382,029.36
  6. Step 6: Final answer
    x = 231,357.73

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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.