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Finding the Fourth Proportional to 424,302.84, 635,601.96 and 196,279.02

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Solution

The fourth proportional to 424,302.84, 635,601.96 and 196,279.02 is: 294,024.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,302.84 : 635,601.96 = 196,279.02 : x
  2. Step 2: Convert to fraction form
    424,302.84/635,601.96 = 196,279.02/x
  3. Step 3: Cross multiply
    424,302.84x = 635,601.96 × 196,279.02
  4. Step 4: Simplify right side
    424,302.84x = 124,755,329,818.88
  5. Step 5: Solve for x
    x = 124,755,329,818.88/424,302.84
  6. Step 6: Final answer
    x = 294,024.26

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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.