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Finding the Fourth Proportional to 409,323.94, 613,972.02 and 125,003.02

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Solution

The fourth proportional to 409,323.94, 613,972.02 and 125,003.02 is: 187,500.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,323.94 : 613,972.02 = 125,003.02 : x
  2. Step 2: Convert to fraction form
    409,323.94/613,972.02 = 125,003.02/x
  3. Step 3: Cross multiply
    409,323.94x = 613,972.02 × 125,003.02
  4. Step 4: Simplify right side
    409,323.94x = 76,748,356,695.50
  5. Step 5: Solve for x
    x = 76,748,356,695.50/409,323.94
  6. Step 6: Final answer
    x = 187,500.29

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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.