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Finding the Fourth Proportional to 598,267.61, 897,206.40 and 198,801.12

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Solution

The fourth proportional to 598,267.61, 897,206.40 and 198,801.12 is: 298,136.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,267.61 : 897,206.40 = 198,801.12 : x
  2. Step 2: Convert to fraction form
    598,267.61/897,206.40 = 198,801.12/x
  3. Step 3: Cross multiply
    598,267.61x = 897,206.40 × 198,801.12
  4. Step 4: Simplify right side
    598,267.61x = 178,365,637,191.17
  5. Step 5: Solve for x
    x = 178,365,637,191.17/598,267.61
  6. Step 6: Final answer
    x = 298,136.88

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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.