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Finding the Fourth Proportional to 585,774.80, 878,662.20 and 165,045.20

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Solution

The fourth proportional to 585,774.80, 878,662.20 and 165,045.20 is: 247,567.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,774.80 : 878,662.20 = 165,045.20 : x
  2. Step 2: Convert to fraction form
    585,774.80/878,662.20 = 165,045.20/x
  3. Step 3: Cross multiply
    585,774.80x = 878,662.20 × 165,045.20
  4. Step 4: Simplify right side
    585,774.80x = 145,018,978,531.44
  5. Step 5: Solve for x
    x = 145,018,978,531.44/585,774.80
  6. Step 6: Final answer
    x = 247,567.80

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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.