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Finding the Fourth Proportional to 402,251.16, 554,947.87 and 259,094.29

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Solution

The fourth proportional to 402,251.16, 554,947.87 and 259,094.29 is: 357,447.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,251.16 : 554,947.87 = 259,094.29 : x
  2. Step 2: Convert to fraction form
    402,251.16/554,947.87 = 259,094.29/x
  3. Step 3: Cross multiply
    402,251.16x = 554,947.87 × 259,094.29
  4. Step 4: Simplify right side
    402,251.16x = 143,783,821,589.92
  5. Step 5: Solve for x
    x = 143,783,821,589.92/402,251.16
  6. Step 6: Final answer
    x = 357,447.88

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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.