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Finding the Fourth Proportional to 456,767.71, 685,246.14 and 136,906.66

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Solution

The fourth proportional to 456,767.71, 685,246.14 and 136,906.66 is: 205,388.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,767.71 : 685,246.14 = 136,906.66 : x
  2. Step 2: Convert to fraction form
    456,767.71/685,246.14 = 136,906.66/x
  3. Step 3: Cross multiply
    456,767.71x = 685,246.14 × 136,906.66
  4. Step 4: Simplify right side
    456,767.71x = 93,814,760,305.29
  5. Step 5: Solve for x
    x = 93,814,760,305.29/456,767.71
  6. Step 6: Final answer
    x = 205,388.34

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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.