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Finding the Fourth Proportional to 577,862.85, 866,832.32 and 151,409.12

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Solution

The fourth proportional to 577,862.85, 866,832.32 and 151,409.12 is: 227,123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,862.85 : 866,832.32 = 151,409.12 : x
  2. Step 2: Convert to fraction form
    577,862.85/866,832.32 = 151,409.12/x
  3. Step 3: Cross multiply
    577,862.85x = 866,832.32 × 151,409.12
  4. Step 4: Simplify right side
    577,862.85x = 131,246,313,667.55
  5. Step 5: Solve for x
    x = 131,246,313,667.55/577,862.85
  6. Step 6: Final answer
    x = 227,123.64

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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.