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Finding the Fourth Proportional to 605,156.97, 907,855.25 and 172,878.16

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Solution

The fourth proportional to 605,156.97, 907,855.25 and 172,878.16 is: 259,351.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,156.97 : 907,855.25 = 172,878.16 : x
  2. Step 2: Convert to fraction form
    605,156.97/907,855.25 = 172,878.16/x
  3. Step 3: Cross multiply
    605,156.97x = 907,855.25 × 172,878.16
  4. Step 4: Simplify right side
    605,156.97x = 156,948,343,734.54
  5. Step 5: Solve for x
    x = 156,948,343,734.54/605,156.97
  6. Step 6: Final answer
    x = 259,351.46

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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.