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Finding the Fourth Proportional to 417,516.96, 575,377.92 and 409,839.60

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Solution

The fourth proportional to 417,516.96, 575,377.92 and 409,839.60 is: 564,797.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,516.96 : 575,377.92 = 409,839.60 : x
  2. Step 2: Convert to fraction form
    417,516.96/575,377.92 = 409,839.60/x
  3. Step 3: Cross multiply
    417,516.96x = 575,377.92 × 409,839.60
  4. Step 4: Simplify right side
    417,516.96x = 235,812,656,581.63
  5. Step 5: Solve for x
    x = 235,812,656,581.63/417,516.96
  6. Step 6: Final answer
    x = 564,797.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.