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Finding the Fourth Proportional to 598,370.40, 897,598.80 and 199,288.80

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Solution

The fourth proportional to 598,370.40, 897,598.80 and 199,288.80 is: 298,947.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,370.40 : 897,598.80 = 199,288.80 : x
  2. Step 2: Convert to fraction form
    598,370.40/897,598.80 = 199,288.80/x
  3. Step 3: Cross multiply
    598,370.40x = 897,598.80 × 199,288.80
  4. Step 4: Simplify right side
    598,370.40x = 178,881,387,733.44
  5. Step 5: Solve for x
    x = 178,881,387,733.44/598,370.40
  6. Step 6: Final answer
    x = 298,947.59

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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.