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Finding the Fourth Proportional to 435,414.87, 653,374.49 and 182,673

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Solution

The fourth proportional to 435,414.87, 653,374.49 and 182,673 is: 274,115.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,414.87 : 653,374.49 = 182,673 : x
  2. Step 2: Convert to fraction form
    435,414.87/653,374.49 = 182,673/x
  3. Step 3: Cross multiply
    435,414.87x = 653,374.49 × 182,673
  4. Step 4: Simplify right side
    435,414.87x = 119,353,877,298.41
  5. Step 5: Solve for x
    x = 119,353,877,298.41/435,414.87
  6. Step 6: Final answer
    x = 274,115.30

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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.