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Finding the Fourth Proportional to 417,516.56, 626,387.76 and 297,724.80

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Solution

The fourth proportional to 417,516.56, 626,387.76 and 297,724.80 is: 446,667.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,516.56 : 626,387.76 = 297,724.80 : x
  2. Step 2: Convert to fraction form
    417,516.56/626,387.76 = 297,724.80/x
  3. Step 3: Cross multiply
    417,516.56x = 626,387.76 × 297,724.80
  4. Step 4: Simplify right side
    417,516.56x = 186,491,170,568.45
  5. Step 5: Solve for x
    x = 186,491,170,568.45/417,516.56
  6. Step 6: Final answer
    x = 446,667.72

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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.