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Finding the Fourth Proportional to 242,511.40, 363,767.10 and 224,796.70

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Solution

The fourth proportional to 242,511.40, 363,767.10 and 224,796.70 is: 337,195.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,511.40 : 363,767.10 = 224,796.70 : x
  2. Step 2: Convert to fraction form
    242,511.40/363,767.10 = 224,796.70/x
  3. Step 3: Cross multiply
    242,511.40x = 363,767.10 × 224,796.70
  4. Step 4: Simplify right side
    242,511.40x = 81,773,643,648.57
  5. Step 5: Solve for x
    x = 81,773,643,648.57/242,511.40
  6. Step 6: Final answer
    x = 337,195.05

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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.