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Finding the Fourth Proportional to 341,498.54, 471,301.47 and 198,250.04

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Solution

The fourth proportional to 341,498.54, 471,301.47 and 198,250.04 is: 273,604.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,498.54 : 471,301.47 = 198,250.04 : x
  2. Step 2: Convert to fraction form
    341,498.54/471,301.47 = 198,250.04/x
  3. Step 3: Cross multiply
    341,498.54x = 471,301.47 × 198,250.04
  4. Step 4: Simplify right side
    341,498.54x = 93,435,536,457.81
  5. Step 5: Solve for x
    x = 93,435,536,457.81/341,498.54
  6. Step 6: Final answer
    x = 273,604.50

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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.