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Finding the Fourth Proportional to 650,833.85, 974,568.60 and 449,052.14

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Solution

The fourth proportional to 650,833.85, 974,568.60 and 449,052.14 is: 672,417.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,833.85 : 974,568.60 = 449,052.14 : x
  2. Step 2: Convert to fraction form
    650,833.85/974,568.60 = 449,052.14/x
  3. Step 3: Cross multiply
    650,833.85x = 974,568.60 × 449,052.14
  4. Step 4: Simplify right side
    650,833.85x = 437,632,115,406.80
  5. Step 5: Solve for x
    x = 437,632,115,406.80/650,833.85
  6. Step 6: Final answer
    x = 672,417.57

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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.