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Finding the Fourth Proportional to 535,710.87, 803,540.27 and 198,817.14

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Solution

The fourth proportional to 535,710.87, 803,540.27 and 198,817.14 is: 298,216.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,710.87 : 803,540.27 = 198,817.14 : x
  2. Step 2: Convert to fraction form
    535,710.87/803,540.27 = 198,817.14/x
  3. Step 3: Cross multiply
    535,710.87x = 803,540.27 × 198,817.14
  4. Step 4: Simplify right side
    535,710.87x = 159,757,577,362.14
  5. Step 5: Solve for x
    x = 159,757,577,362.14/535,710.87
  6. Step 6: Final answer
    x = 298,216.05

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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.