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Finding the Fourth Proportional to 713,648.48, 984,766.01 and 427,162.41

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Solution

The fourth proportional to 713,648.48, 984,766.01 and 427,162.41 is: 589,442.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,648.48 : 984,766.01 = 427,162.41 : x
  2. Step 2: Convert to fraction form
    713,648.48/984,766.01 = 427,162.41/x
  3. Step 3: Cross multiply
    713,648.48x = 984,766.01 × 427,162.41
  4. Step 4: Simplify right side
    713,648.48x = 420,655,019,981.87
  5. Step 5: Solve for x
    x = 420,655,019,981.87/713,648.48
  6. Step 6: Final answer
    x = 589,442.89

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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.