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Finding the Fourth Proportional to 585,620.88, 878,642.04 and 230,438.16

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Solution

The fourth proportional to 585,620.88, 878,642.04 and 230,438.16 is: 345,740.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,620.88 : 878,642.04 = 230,438.16 : x
  2. Step 2: Convert to fraction form
    585,620.88/878,642.04 = 230,438.16/x
  3. Step 3: Cross multiply
    585,620.88x = 878,642.04 × 230,438.16
  4. Step 4: Simplify right side
    585,620.88x = 202,472,654,996.25
  5. Step 5: Solve for x
    x = 202,472,654,996.25/585,620.88
  6. Step 6: Final answer
    x = 345,740.16

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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.