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Finding the Fourth Proportional to 535,797.98, 803,670.51 and 198,904.10

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Solution

The fourth proportional to 535,797.98, 803,670.51 and 198,904.10 is: 298,346.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,797.98 : 803,670.51 = 198,904.10 : x
  2. Step 2: Convert to fraction form
    535,797.98/803,670.51 = 198,904.10/x
  3. Step 3: Cross multiply
    535,797.98x = 803,670.51 × 198,904.10
  4. Step 4: Simplify right side
    535,797.98x = 159,853,359,488.09
  5. Step 5: Solve for x
    x = 159,853,359,488.09/535,797.98
  6. Step 6: Final answer
    x = 298,346.33

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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.