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Finding the Fourth Proportional to 534,894.98, 738,172.92 and 293,178.17

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Solution

The fourth proportional to 534,894.98, 738,172.92 and 293,178.17 is: 404,595.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,894.98 : 738,172.92 = 293,178.17 : x
  2. Step 2: Convert to fraction form
    534,894.98/738,172.92 = 293,178.17/x
  3. Step 3: Cross multiply
    534,894.98x = 738,172.92 × 293,178.17
  4. Step 4: Simplify right side
    534,894.98x = 216,416,188,774.01
  5. Step 5: Solve for x
    x = 216,416,188,774.01/534,894.98
  6. Step 6: Final answer
    x = 404,595.66

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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.