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Finding the Fourth Proportional to 587,082.93, 880,346.80 and 227,422.23

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Solution

The fourth proportional to 587,082.93, 880,346.80 and 227,422.23 is: 341,025.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,082.93 : 880,346.80 = 227,422.23 : x
  2. Step 2: Convert to fraction form
    587,082.93/880,346.80 = 227,422.23/x
  3. Step 3: Cross multiply
    587,082.93x = 880,346.80 × 227,422.23
  4. Step 4: Simplify right side
    587,082.93x = 200,210,432,429.36
  5. Step 5: Solve for x
    x = 200,210,432,429.36/587,082.93
  6. Step 6: Final answer
    x = 341,025.81

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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.