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Finding the Fourth Proportional to 349,279.50, 482,006.34 and 198,376.50

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Solution

The fourth proportional to 349,279.50, 482,006.34 and 198,376.50 is: 273,759.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,279.50 : 482,006.34 = 198,376.50 : x
  2. Step 2: Convert to fraction form
    349,279.50/482,006.34 = 198,376.50/x
  3. Step 3: Cross multiply
    349,279.50x = 482,006.34 × 198,376.50
  4. Step 4: Simplify right side
    349,279.50x = 95,618,730,707.01
  5. Step 5: Solve for x
    x = 95,618,730,707.01/349,279.50
  6. Step 6: Final answer
    x = 273,759.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.