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Finding the Fourth Proportional to 501,010.84, 691,380.66 and 286,146.46

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Solution

The fourth proportional to 501,010.84, 691,380.66 and 286,146.46 is: 394,873.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,010.84 : 691,380.66 = 286,146.46 : x
  2. Step 2: Convert to fraction form
    501,010.84/691,380.66 = 286,146.46/x
  3. Step 3: Cross multiply
    501,010.84x = 691,380.66 × 286,146.46
  4. Step 4: Simplify right side
    501,010.84x = 197,836,128,371.46
  5. Step 5: Solve for x
    x = 197,836,128,371.46/501,010.84
  6. Step 6: Final answer
    x = 394,873.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.