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Finding the Fourth Proportional to 598,753.47, 898,273.73 and 199,397.70

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Solution

The fourth proportional to 598,753.47, 898,273.73 and 199,397.70 is: 299,144.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,753.47 : 898,273.73 = 199,397.70 : x
  2. Step 2: Convert to fraction form
    598,753.47/898,273.73 = 199,397.70/x
  3. Step 3: Cross multiply
    598,753.47x = 898,273.73 × 199,397.70
  4. Step 4: Simplify right side
    598,753.47x = 179,113,714,735.43
  5. Step 5: Solve for x
    x = 179,113,714,735.43/598,753.47
  6. Step 6: Final answer
    x = 299,144.35

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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.