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Finding the Fourth Proportional to 417,635.64, 576,614.70 and 247,924.28

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Solution

The fourth proportional to 417,635.64, 576,614.70 and 247,924.28 is: 342,300.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,635.64 : 576,614.70 = 247,924.28 : x
  2. Step 2: Convert to fraction form
    417,635.64/576,614.70 = 247,924.28/x
  3. Step 3: Cross multiply
    417,635.64x = 576,614.70 × 247,924.28
  4. Step 4: Simplify right side
    417,635.64x = 142,956,784,334.92
  5. Step 5: Solve for x
    x = 142,956,784,334.92/417,635.64
  6. Step 6: Final answer
    x = 342,300.25

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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.