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Finding the Fourth Proportional to 535,693.59, 803,514.42 and 198,799.92

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Solution

The fourth proportional to 535,693.59, 803,514.42 and 198,799.92 is: 298,190.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,693.59 : 803,514.42 = 198,799.92 : x
  2. Step 2: Convert to fraction form
    535,693.59/803,514.42 = 198,799.92/x
  3. Step 3: Cross multiply
    535,693.59x = 803,514.42 × 198,799.92
  4. Step 4: Simplify right side
    535,693.59x = 159,738,602,414.85
  5. Step 5: Solve for x
    x = 159,738,602,414.85/535,693.59
  6. Step 6: Final answer
    x = 298,190.24

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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.