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Finding the Fourth Proportional to 418,728.28, 577,599 and 263,432.68

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Solution

The fourth proportional to 418,728.28, 577,599 and 263,432.68 is: 363,382.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,728.28 : 577,599 = 263,432.68 : x
  2. Step 2: Convert to fraction form
    418,728.28/577,599 = 263,432.68/x
  3. Step 3: Cross multiply
    418,728.28x = 577,599 × 263,432.68
  4. Step 4: Simplify right side
    418,728.28x = 152,158,452,535.32
  5. Step 5: Solve for x
    x = 152,158,452,535.32/418,728.28
  6. Step 6: Final answer
    x = 363,382.32

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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.