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Finding the Fourth Proportional to 466,080.30, 698,677.53 and 297,126.46

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Solution

The fourth proportional to 466,080.30, 698,677.53 and 297,126.46 is: 445,407.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,080.30 : 698,677.53 = 297,126.46 : x
  2. Step 2: Convert to fraction form
    466,080.30/698,677.53 = 297,126.46/x
  3. Step 3: Cross multiply
    466,080.30x = 698,677.53 × 297,126.46
  4. Step 4: Simplify right side
    466,080.30x = 207,595,581,170.44
  5. Step 5: Solve for x
    x = 207,595,581,170.44/466,080.30
  6. Step 6: Final answer
    x = 445,407.33

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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.