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Finding the Fourth Proportional to 508,864.36, 766,954.20 and 438,634.66

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Solution

The fourth proportional to 508,864.36, 766,954.20 and 438,634.66 is: 661,104.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,864.36 : 766,954.20 = 438,634.66 : x
  2. Step 2: Convert to fraction form
    508,864.36/766,954.20 = 438,634.66/x
  3. Step 3: Cross multiply
    508,864.36x = 766,954.20 × 438,634.66
  4. Step 4: Simplify right side
    508,864.36x = 336,412,694,752.57
  5. Step 5: Solve for x
    x = 336,412,694,752.57/508,864.36
  6. Step 6: Final answer
    x = 661,104.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.