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Finding the Fourth Proportional to 311,551.60, 467,372.48 and 98,247.12

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Solution

The fourth proportional to 311,551.60, 467,372.48 and 98,247.12 is: 147,384.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,551.60 : 467,372.48 = 98,247.12 : x
  2. Step 2: Convert to fraction form
    311,551.60/467,372.48 = 98,247.12/x
  3. Step 3: Cross multiply
    311,551.60x = 467,372.48 × 98,247.12
  4. Step 4: Simplify right side
    311,551.60x = 45,918,000,127.26
  5. Step 5: Solve for x
    x = 45,918,000,127.26/311,551.60
  6. Step 6: Final answer
    x = 147,384.90

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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.