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Finding the Fourth Proportional to 382,429.81, 573,562.70 and 157,731.96

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Solution

The fourth proportional to 382,429.81, 573,562.70 and 157,731.96 is: 236,564.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,429.81 : 573,562.70 = 157,731.96 : x
  2. Step 2: Convert to fraction form
    382,429.81/573,562.70 = 157,731.96/x
  3. Step 3: Cross multiply
    382,429.81x = 573,562.70 × 157,731.96
  4. Step 4: Simplify right side
    382,429.81x = 90,469,168,853.89
  5. Step 5: Solve for x
    x = 90,469,168,853.89/382,429.81
  6. Step 6: Final answer
    x = 236,564.11

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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.