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Finding the Fourth Proportional to 315,034.40, 472,551.60 and 165,216.80

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Solution

The fourth proportional to 315,034.40, 472,551.60 and 165,216.80 is: 247,825.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,034.40 : 472,551.60 = 165,216.80 : x
  2. Step 2: Convert to fraction form
    315,034.40/472,551.60 = 165,216.80/x
  3. Step 3: Cross multiply
    315,034.40x = 472,551.60 × 165,216.80
  4. Step 4: Simplify right side
    315,034.40x = 78,073,463,186.88
  5. Step 5: Solve for x
    x = 78,073,463,186.88/315,034.40
  6. Step 6: Final answer
    x = 247,825.20

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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.