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Finding the Fourth Proportional to 535,713.12, 803,543.64 and 198,819.44

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Solution

The fourth proportional to 535,713.12, 803,543.64 and 198,819.44 is: 298,219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,713.12 : 803,543.64 = 198,819.44 : x
  2. Step 2: Convert to fraction form
    535,713.12/803,543.64 = 198,819.44/x
  3. Step 3: Cross multiply
    535,713.12x = 803,543.64 × 198,819.44
  4. Step 4: Simplify right side
    535,713.12x = 159,760,096,520.36
  5. Step 5: Solve for x
    x = 159,760,096,520.36/535,713.12
  6. Step 6: Final answer
    x = 298,219.50

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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.