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Finding the Fourth Proportional to 535,711.87, 803,541.76 and 198,818.14

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Solution

The fourth proportional to 535,711.87, 803,541.76 and 198,818.14 is: 298,217.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,711.87 : 803,541.76 = 198,818.14 : x
  2. Step 2: Convert to fraction form
    535,711.87/803,541.76 = 198,818.14/x
  3. Step 3: Cross multiply
    535,711.87x = 803,541.76 × 198,818.14
  4. Step 4: Simplify right side
    535,711.87x = 159,758,678,135.53
  5. Step 5: Solve for x
    x = 159,758,678,135.53/535,711.87
  6. Step 6: Final answer
    x = 298,217.54

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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.