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Finding the Fourth Proportional to 409,638.88, 614,325.42 and 156,905.92

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Solution

The fourth proportional to 409,638.88, 614,325.42 and 156,905.92 is: 235,307.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,638.88 : 614,325.42 = 156,905.92 : x
  2. Step 2: Convert to fraction form
    409,638.88/614,325.42 = 156,905.92/x
  3. Step 3: Cross multiply
    409,638.88x = 614,325.42 × 156,905.92
  4. Step 4: Simplify right side
    409,638.88x = 96,391,295,204.49
  5. Step 5: Solve for x
    x = 96,391,295,204.49/409,638.88
  6. Step 6: Final answer
    x = 235,307.97

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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.