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Finding the Fourth Proportional to 441,876.24, 609,595.20 and 298,584

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Solution

The fourth proportional to 441,876.24, 609,595.20 and 298,584 is: 411,914.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,876.24 : 609,595.20 = 298,584 : x
  2. Step 2: Convert to fraction form
    441,876.24/609,595.20 = 298,584/x
  3. Step 3: Cross multiply
    441,876.24x = 609,595.20 × 298,584
  4. Step 4: Simplify right side
    441,876.24x = 182,015,373,196.80
  5. Step 5: Solve for x
    x = 182,015,373,196.80/441,876.24
  6. Step 6: Final answer
    x = 411,914.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.