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Finding the Fourth Proportional to 585,433.98, 878,947.64 and 329,447.40

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Solution

The fourth proportional to 585,433.98, 878,947.64 and 329,447.40 is: 494,619.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,433.98 : 878,947.64 = 329,447.40 : x
  2. Step 2: Convert to fraction form
    585,433.98/878,947.64 = 329,447.40/x
  3. Step 3: Cross multiply
    585,433.98x = 878,947.64 × 329,447.40
  4. Step 4: Simplify right side
    585,433.98x = 289,567,014,734.14
  5. Step 5: Solve for x
    x = 289,567,014,734.14/585,433.98
  6. Step 6: Final answer
    x = 494,619.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.