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Finding the Fourth Proportional to 585,937.40, 878,202.91 and 301,761.65

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Solution

The fourth proportional to 585,937.40, 878,202.91 and 301,761.65 is: 452,280.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,937.40 : 878,202.91 = 301,761.65 : x
  2. Step 2: Convert to fraction form
    585,937.40/878,202.91 = 301,761.65/x
  3. Step 3: Cross multiply
    585,937.40x = 878,202.91 × 301,761.65
  4. Step 4: Simplify right side
    585,937.40x = 265,007,961,729.11
  5. Step 5: Solve for x
    x = 265,007,961,729.11/585,937.40
  6. Step 6: Final answer
    x = 452,280.34

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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.