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Finding the Fourth Proportional to 450,709.38, 675,092.10 and 424,211.11

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Solution

The fourth proportional to 450,709.38, 675,092.10 and 424,211.11 is: 635,401.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,709.38 : 675,092.10 = 424,211.11 : x
  2. Step 2: Convert to fraction form
    450,709.38/675,092.10 = 424,211.11/x
  3. Step 3: Cross multiply
    450,709.38x = 675,092.10 × 424,211.11
  4. Step 4: Simplify right side
    450,709.38x = 286,381,569,093.23
  5. Step 5: Solve for x
    x = 286,381,569,093.23/450,709.38
  6. Step 6: Final answer
    x = 635,401.84

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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.