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Finding the Fourth Proportional to 587,099.47, 880,371.63 and 227,438.77

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Solution

The fourth proportional to 587,099.47, 880,371.63 and 227,438.77 is: 341,050.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,099.47 : 880,371.63 = 227,438.77 : x
  2. Step 2: Convert to fraction form
    587,099.47/880,371.63 = 227,438.77/x
  3. Step 3: Cross multiply
    587,099.47x = 880,371.63 × 227,438.77
  4. Step 4: Simplify right side
    587,099.47x = 200,230,640,670.10
  5. Step 5: Solve for x
    x = 200,230,640,670.10/587,099.47
  6. Step 6: Final answer
    x = 341,050.62

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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.