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Finding the Fourth Proportional to 409,424.22, 614,326.56 and 156,621.16

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Solution

The fourth proportional to 409,424.22, 614,326.56 and 156,621.16 is: 235,004.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,424.22 : 614,326.56 = 156,621.16 : x
  2. Step 2: Convert to fraction form
    409,424.22/614,326.56 = 156,621.16/x
  3. Step 3: Cross multiply
    409,424.22x = 614,326.56 × 156,621.16
  4. Step 4: Simplify right side
    409,424.22x = 96,216,538,446.01
  5. Step 5: Solve for x
    x = 96,216,538,446.01/409,424.22
  6. Step 6: Final answer
    x = 235,004.51

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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.