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Finding the Fourth Proportional to 329,610.30, 494,434.74 and 127,207.47

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Solution

The fourth proportional to 329,610.30, 494,434.74 and 127,207.47 is: 190,818.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,610.30 : 494,434.74 = 127,207.47 : x
  2. Step 2: Convert to fraction form
    329,610.30/494,434.74 = 127,207.47/x
  3. Step 3: Cross multiply
    329,610.30x = 494,434.74 × 127,207.47
  4. Step 4: Simplify right side
    329,610.30x = 62,895,792,355.51
  5. Step 5: Solve for x
    x = 62,895,792,355.51/329,610.30
  6. Step 6: Final answer
    x = 190,818.65

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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.