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Finding the Fourth Proportional to 598,932.79, 826,900.31 and 381,264.32

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Solution

The fourth proportional to 598,932.79, 826,900.31 and 381,264.32 is: 526,382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,932.79 : 826,900.31 = 381,264.32 : x
  2. Step 2: Convert to fraction form
    598,932.79/826,900.31 = 381,264.32/x
  3. Step 3: Cross multiply
    598,932.79x = 826,900.31 × 381,264.32
  4. Step 4: Simplify right side
    598,932.79x = 315,267,587,420.35
  5. Step 5: Solve for x
    x = 315,267,587,420.35/598,932.79
  6. Step 6: Final answer
    x = 526,382.25

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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.