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Finding the Fourth Proportional to 329,695.32, 494,515.60 and 105,046.68

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Solution

The fourth proportional to 329,695.32, 494,515.60 and 105,046.68 is: 157,561.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,695.32 : 494,515.60 = 105,046.68 : x
  2. Step 2: Convert to fraction form
    329,695.32/494,515.60 = 105,046.68/x
  3. Step 3: Cross multiply
    329,695.32x = 494,515.60 × 105,046.68
  4. Step 4: Simplify right side
    329,695.32x = 51,947,221,988.21
  5. Step 5: Solve for x
    x = 51,947,221,988.21/329,695.32
  6. Step 6: Final answer
    x = 157,561.30

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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.