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Finding the Fourth Proportional to 342,024.32, 513,046.88 and 117,381.48

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Solution

The fourth proportional to 342,024.32, 513,046.88 and 117,381.48 is: 176,075.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,024.32 : 513,046.88 = 117,381.48 : x
  2. Step 2: Convert to fraction form
    342,024.32/513,046.88 = 117,381.48/x
  3. Step 3: Cross multiply
    342,024.32x = 513,046.88 × 117,381.48
  4. Step 4: Simplify right side
    342,024.32x = 60,222,202,083.78
  5. Step 5: Solve for x
    x = 60,222,202,083.78/342,024.32
  6. Step 6: Final answer
    x = 176,075.79

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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.