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Finding the Fourth Proportional to 409,652.80, 614,478.17 and 110,133.36

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Solution

The fourth proportional to 409,652.80, 614,478.17 and 110,133.36 is: 165,199.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,652.80 : 614,478.17 = 110,133.36 : x
  2. Step 2: Convert to fraction form
    409,652.80/614,478.17 = 110,133.36/x
  3. Step 3: Cross multiply
    409,652.80x = 614,478.17 × 110,133.36
  4. Step 4: Simplify right side
    409,652.80x = 67,674,545,508.75
  5. Step 5: Solve for x
    x = 67,674,545,508.75/409,652.80
  6. Step 6: Final answer
    x = 165,199.76

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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.