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Finding the Fourth Proportional to 363,264.26, 544,944 and 120,024.56

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Solution

The fourth proportional to 363,264.26, 544,944 and 120,024.56 is: 180,052.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,264.26 : 544,944 = 120,024.56 : x
  2. Step 2: Convert to fraction form
    363,264.26/544,944 = 120,024.56/x
  3. Step 3: Cross multiply
    363,264.26x = 544,944 × 120,024.56
  4. Step 4: Simplify right side
    363,264.26x = 65,406,663,824.64
  5. Step 5: Solve for x
    x = 65,406,663,824.64/363,264.26
  6. Step 6: Final answer
    x = 180,052.57

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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.