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Finding the Fourth Proportional to 409,751.24, 614,619.54 and 156,963.20

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Solution

The fourth proportional to 409,751.24, 614,619.54 and 156,963.20 is: 235,442.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,751.24 : 614,619.54 = 156,963.20 : x
  2. Step 2: Convert to fraction form
    409,751.24/614,619.54 = 156,963.20/x
  3. Step 3: Cross multiply
    409,751.24x = 614,619.54 × 156,963.20
  4. Step 4: Simplify right side
    409,751.24x = 96,472,649,780.93
  5. Step 5: Solve for x
    x = 96,472,649,780.93/409,751.24
  6. Step 6: Final answer
    x = 235,442.00

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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.