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Finding the Fourth Proportional to 315,077.20, 471,463.80 and 232,133.20

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Solution

The fourth proportional to 315,077.20, 471,463.80 and 232,133.20 is: 347,351.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,077.20 : 471,463.80 = 232,133.20 : x
  2. Step 2: Convert to fraction form
    315,077.20/471,463.80 = 232,133.20/x
  3. Step 3: Cross multiply
    315,077.20x = 471,463.80 × 232,133.20
  4. Step 4: Simplify right side
    315,077.20x = 109,442,400,578.16
  5. Step 5: Solve for x
    x = 109,442,400,578.16/315,077.20
  6. Step 6: Final answer
    x = 347,351.06

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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.