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Finding the Fourth Proportional to 409,728.30, 614,300.85 and 156,911.10

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Solution

The fourth proportional to 409,728.30, 614,300.85 and 156,911.10 is: 235,254.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,728.30 : 614,300.85 = 156,911.10 : x
  2. Step 2: Convert to fraction form
    409,728.30/614,300.85 = 156,911.10/x
  3. Step 3: Cross multiply
    409,728.30x = 614,300.85 × 156,911.10
  4. Step 4: Simplify right side
    409,728.30x = 96,390,622,104.44
  5. Step 5: Solve for x
    x = 96,390,622,104.44/409,728.30
  6. Step 6: Final answer
    x = 235,254.98

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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.