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Finding the Fourth Proportional to 494,440.65, 741,415.35 and 157,437.30

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Solution

The fourth proportional to 494,440.65, 741,415.35 and 157,437.30 is: 236,077.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,440.65 : 741,415.35 = 157,437.30 : x
  2. Step 2: Convert to fraction form
    494,440.65/741,415.35 = 157,437.30/x
  3. Step 3: Cross multiply
    494,440.65x = 741,415.35 × 157,437.30
  4. Step 4: Simplify right side
    494,440.65x = 116,726,430,882.56
  5. Step 5: Solve for x
    x = 116,726,430,882.56/494,440.65
  6. Step 6: Final answer
    x = 236,077.74

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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.