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Finding the Fourth Proportional to 409,049.06, 613,615.48 and 156,541.95

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Solution

The fourth proportional to 409,049.06, 613,615.48 and 156,541.95 is: 234,828.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,049.06 : 613,615.48 = 156,541.95 : x
  2. Step 2: Convert to fraction form
    409,049.06/613,615.48 = 156,541.95/x
  3. Step 3: Cross multiply
    409,049.06x = 613,615.48 × 156,541.95
  4. Step 4: Simplify right side
    409,049.06x = 96,056,563,398.03
  5. Step 5: Solve for x
    x = 96,056,563,398.03/409,049.06
  6. Step 6: Final answer
    x = 234,828.96

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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.