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Finding the Fourth Proportional to 345,167.84, 476,294.96 and 194,262.24

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Solution

The fourth proportional to 345,167.84, 476,294.96 and 194,262.24 is: 268,061.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,167.84 : 476,294.96 = 194,262.24 : x
  2. Step 2: Convert to fraction form
    345,167.84/476,294.96 = 194,262.24/x
  3. Step 3: Cross multiply
    345,167.84x = 476,294.96 × 194,262.24
  4. Step 4: Simplify right side
    345,167.84x = 92,526,125,830.31
  5. Step 5: Solve for x
    x = 92,526,125,830.31/345,167.84
  6. Step 6: Final answer
    x = 268,061.26

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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.