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Finding the Fourth Proportional to 310,531.29, 465,464.74 and 160,620.66

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Solution

The fourth proportional to 310,531.29, 465,464.74 and 160,620.66 is: 240,759.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,531.29 : 465,464.74 = 160,620.66 : x
  2. Step 2: Convert to fraction form
    310,531.29/465,464.74 = 160,620.66/x
  3. Step 3: Cross multiply
    310,531.29x = 465,464.74 × 160,620.66
  4. Step 4: Simplify right side
    310,531.29x = 74,763,253,745.53
  5. Step 5: Solve for x
    x = 74,763,253,745.53/310,531.29
  6. Step 6: Final answer
    x = 240,759.16

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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.