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Finding the Fourth Proportional to 409,406.25, 614,219.94 and 125,089.05

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Solution

The fourth proportional to 409,406.25, 614,219.94 and 125,089.05 is: 187,667.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,406.25 : 614,219.94 = 125,089.05 : x
  2. Step 2: Convert to fraction form
    409,406.25/614,219.94 = 125,089.05/x
  3. Step 3: Cross multiply
    409,406.25x = 614,219.94 × 125,089.05
  4. Step 4: Simplify right side
    409,406.25x = 76,832,187,809.90
  5. Step 5: Solve for x
    x = 76,832,187,809.90/409,406.25
  6. Step 6: Final answer
    x = 187,667.35

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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.