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Finding the Fourth Proportional to 461,419.80, 692,259.30 and 224,770.20

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Solution

The fourth proportional to 461,419.80, 692,259.30 and 224,770.20 is: 337,218.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,419.80 : 692,259.30 = 224,770.20 : x
  2. Step 2: Convert to fraction form
    461,419.80/692,259.30 = 224,770.20/x
  3. Step 3: Cross multiply
    461,419.80x = 692,259.30 × 224,770.20
  4. Step 4: Simplify right side
    461,419.80x = 155,599,261,312.86
  5. Step 5: Solve for x
    x = 155,599,261,312.86/461,419.80
  6. Step 6: Final answer
    x = 337,218.43

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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.