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Finding the Fourth Proportional to 409,752.24, 614,621.04 and 156,964.20

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Solution

The fourth proportional to 409,752.24, 614,621.04 and 156,964.20 is: 235,443.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,752.24 : 614,621.04 = 156,964.20 : x
  2. Step 2: Convert to fraction form
    409,752.24/614,621.04 = 156,964.20/x
  3. Step 3: Cross multiply
    409,752.24x = 614,621.04 × 156,964.20
  4. Step 4: Simplify right side
    409,752.24x = 96,473,499,846.77
  5. Step 5: Solve for x
    x = 96,473,499,846.77/409,752.24
  6. Step 6: Final answer
    x = 235,443.50

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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.