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Finding the Fourth Proportional to 423,733.27, 635,059.35 and 198,597.01

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Solution

The fourth proportional to 423,733.27, 635,059.35 and 198,597.01 is: 297,642.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,733.27 : 635,059.35 = 198,597.01 : x
  2. Step 2: Convert to fraction form
    423,733.27/635,059.35 = 198,597.01/x
  3. Step 3: Cross multiply
    423,733.27x = 635,059.35 × 198,597.01
  4. Step 4: Simplify right side
    423,733.27x = 126,120,888,082.54
  5. Step 5: Solve for x
    x = 126,120,888,082.54/423,733.27
  6. Step 6: Final answer
    x = 297,642.17

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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.