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Finding the Fourth Proportional to 381,952.42, 572,988.06 and 115,649.53

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Solution

The fourth proportional to 381,952.42, 572,988.06 and 115,649.53 is: 173,492.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,952.42 : 572,988.06 = 115,649.53 : x
  2. Step 2: Convert to fraction form
    381,952.42/572,988.06 = 115,649.53/x
  3. Step 3: Cross multiply
    381,952.42x = 572,988.06 × 115,649.53
  4. Step 4: Simplify right side
    381,952.42x = 66,265,799,834.61
  5. Step 5: Solve for x
    x = 66,265,799,834.61/381,952.42
  6. Step 6: Final answer
    x = 173,492.29

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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.