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Finding the Fourth Proportional to 598,442.82, 897,753.60 and 193,499.52

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Solution

The fourth proportional to 598,442.82, 897,753.60 and 193,499.52 is: 290,278.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,442.82 : 897,753.60 = 193,499.52 : x
  2. Step 2: Convert to fraction form
    598,442.82/897,753.60 = 193,499.52/x
  3. Step 3: Cross multiply
    598,442.82x = 897,753.60 × 193,499.52
  4. Step 4: Simplify right side
    598,442.82x = 173,714,890,678.27
  5. Step 5: Solve for x
    x = 173,714,890,678.27/598,442.82
  6. Step 6: Final answer
    x = 290,278.18

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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.