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Finding the Fourth Proportional to 409,322.94, 613,970.52 and 125,002.02

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Solution

The fourth proportional to 409,322.94, 613,970.52 and 125,002.02 is: 187,498.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,322.94 : 613,970.52 = 125,002.02 : x
  2. Step 2: Convert to fraction form
    409,322.94/613,970.52 = 125,002.02/x
  3. Step 3: Cross multiply
    409,322.94x = 613,970.52 × 125,002.02
  4. Step 4: Simplify right side
    409,322.94x = 76,747,555,220.45
  5. Step 5: Solve for x
    x = 76,747,555,220.45/409,322.94
  6. Step 6: Final answer
    x = 187,498.79

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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.