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Finding the Fourth Proportional to 535,700.88, 803,598.48 and 198,745.20

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Solution

The fourth proportional to 535,700.88, 803,598.48 and 198,745.20 is: 298,135.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,700.88 : 803,598.48 = 198,745.20 : x
  2. Step 2: Convert to fraction form
    535,700.88/803,598.48 = 198,745.20/x
  3. Step 3: Cross multiply
    535,700.88x = 803,598.48 × 198,745.20
  4. Step 4: Simplify right side
    535,700.88x = 159,711,340,627.30
  5. Step 5: Solve for x
    x = 159,711,340,627.30/535,700.88
  6. Step 6: Final answer
    x = 298,135.30

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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.