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Finding the Fourth Proportional to 232,718.40, 349,077.24 and 74,970

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Solution

The fourth proportional to 232,718.40, 349,077.24 and 74,970 is: 112,454.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,718.40 : 349,077.24 = 74,970 : x
  2. Step 2: Convert to fraction form
    232,718.40/349,077.24 = 74,970/x
  3. Step 3: Cross multiply
    232,718.40x = 349,077.24 × 74,970
  4. Step 4: Simplify right side
    232,718.40x = 26,170,320,682.80
  5. Step 5: Solve for x
    x = 26,170,320,682.80/232,718.40
  6. Step 6: Final answer
    x = 112,454.88

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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.