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Finding the Fourth Proportional to 498,826.76, 688,386.50 and 283,970.41

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Solution

The fourth proportional to 498,826.76, 688,386.50 and 283,970.41 is: 391,882.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,826.76 : 688,386.50 = 283,970.41 : x
  2. Step 2: Convert to fraction form
    498,826.76/688,386.50 = 283,970.41/x
  3. Step 3: Cross multiply
    498,826.76x = 688,386.50 × 283,970.41
  4. Step 4: Simplify right side
    498,826.76x = 195,481,394,567.54
  5. Step 5: Solve for x
    x = 195,481,394,567.54/498,826.76
  6. Step 6: Final answer
    x = 391,882.34

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