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Finding the Fourth Proportional to 382,278.53, 573,486.92 and 157,513.93

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Solution

The fourth proportional to 382,278.53, 573,486.92 and 157,513.93 is: 236,299.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,278.53 : 573,486.92 = 157,513.93 : x
  2. Step 2: Convert to fraction form
    382,278.53/573,486.92 = 157,513.93/x
  3. Step 3: Cross multiply
    382,278.53x = 573,486.92 × 157,513.93
  4. Step 4: Simplify right side
    382,278.53x = 90,332,178,572.80
  5. Step 5: Solve for x
    x = 90,332,178,572.80/382,278.53
  6. Step 6: Final answer
    x = 236,299.38

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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.