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Finding the Fourth Proportional to 598,228.70, 897,148.94 and 198,762.21

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Solution

The fourth proportional to 598,228.70, 897,148.94 and 198,762.21 is: 298,078.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,228.70 : 897,148.94 = 198,762.21 : x
  2. Step 2: Convert to fraction form
    598,228.70/897,148.94 = 198,762.21/x
  3. Step 3: Cross multiply
    598,228.70x = 897,148.94 × 198,762.21
  4. Step 4: Simplify right side
    598,228.70x = 178,319,305,019.75
  5. Step 5: Solve for x
    x = 178,319,305,019.75/598,228.70
  6. Step 6: Final answer
    x = 298,078.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.