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Finding the Fourth Proportional to 341,668.28, 471,497.10 and 198,508.60

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Solution

The fourth proportional to 341,668.28, 471,497.10 and 198,508.60 is: 273,938.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,668.28 : 471,497.10 = 198,508.60 : x
  2. Step 2: Convert to fraction form
    341,668.28/471,497.10 = 198,508.60/x
  3. Step 3: Cross multiply
    341,668.28x = 471,497.10 × 198,508.60
  4. Step 4: Simplify right side
    341,668.28x = 93,596,229,225.06
  5. Step 5: Solve for x
    x = 93,596,229,225.06/341,668.28
  6. Step 6: Final answer
    x = 273,938.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.