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Finding the Fourth Proportional to 429,635.81, 592,408.26 and 274,377.95

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Solution

The fourth proportional to 429,635.81, 592,408.26 and 274,377.95 is: 378,329.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,635.81 : 592,408.26 = 274,377.95 : x
  2. Step 2: Convert to fraction form
    429,635.81/592,408.26 = 274,377.95/x
  3. Step 3: Cross multiply
    429,635.81x = 592,408.26 × 274,377.95
  4. Step 4: Simplify right side
    429,635.81x = 162,543,763,201.36
  5. Step 5: Solve for x
    x = 162,543,763,201.36/429,635.81
  6. Step 6: Final answer
    x = 378,329.18

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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.