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Finding the Fourth Proportional to 409,440.30, 614,051.10 and 125,130.30

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Solution

The fourth proportional to 409,440.30, 614,051.10 and 125,130.30 is: 187,662.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,440.30 : 614,051.10 = 125,130.30 : x
  2. Step 2: Convert to fraction form
    409,440.30/614,051.10 = 125,130.30/x
  3. Step 3: Cross multiply
    409,440.30x = 614,051.10 × 125,130.30
  4. Step 4: Simplify right side
    409,440.30x = 76,836,398,358.33
  5. Step 5: Solve for x
    x = 76,836,398,358.33/409,440.30
  6. Step 6: Final answer
    x = 187,662.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.