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Finding the Fourth Proportional to 253,300.35, 380,385.19 and 224,901.47

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Solution

The fourth proportional to 253,300.35, 380,385.19 and 224,901.47 is: 337,738.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,300.35 : 380,385.19 = 224,901.47 : x
  2. Step 2: Convert to fraction form
    253,300.35/380,385.19 = 224,901.47/x
  3. Step 3: Cross multiply
    253,300.35x = 380,385.19 × 224,901.47
  4. Step 4: Simplify right side
    253,300.35x = 85,549,187,926.95
  5. Step 5: Solve for x
    x = 85,549,187,926.95/253,300.35
  6. Step 6: Final answer
    x = 337,738.14

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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.