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Finding the Fourth Proportional to 713,251.68, 982,633.05 and 498,050.88

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Solution

The fourth proportional to 713,251.68, 982,633.05 and 498,050.88 is: 686,155.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,251.68 : 982,633.05 = 498,050.88 : x
  2. Step 2: Convert to fraction form
    713,251.68/982,633.05 = 498,050.88/x
  3. Step 3: Cross multiply
    713,251.68x = 982,633.05 × 498,050.88
  4. Step 4: Simplify right side
    713,251.68x = 489,401,255,269.58
  5. Step 5: Solve for x
    x = 489,401,255,269.58/713,251.68
  6. Step 6: Final answer
    x = 686,155.07

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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.