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Finding the Fourth Proportional to 409,913.26, 614,888.26 and 125,583.01

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Solution

The fourth proportional to 409,913.26, 614,888.26 and 125,583.01 is: 188,380.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,913.26 : 614,888.26 = 125,583.01 : x
  2. Step 2: Convert to fraction form
    409,913.26/614,888.26 = 125,583.01/x
  3. Step 3: Cross multiply
    409,913.26x = 614,888.26 × 125,583.01
  4. Step 4: Simplify right side
    409,913.26x = 77,219,517,359.69
  5. Step 5: Solve for x
    x = 77,219,517,359.69/409,913.26
  6. Step 6: Final answer
    x = 188,380.14

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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.