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Finding the Fourth Proportional to 341,561.92, 471,353.64 and 198,357.16

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Solution

The fourth proportional to 341,561.92, 471,353.64 and 198,357.16 is: 273,731.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,561.92 : 471,353.64 = 198,357.16 : x
  2. Step 2: Convert to fraction form
    341,561.92/471,353.64 = 198,357.16/x
  3. Step 3: Cross multiply
    341,561.92x = 471,353.64 × 198,357.16
  4. Step 4: Simplify right side
    341,561.92x = 93,496,369,386.06
  5. Step 5: Solve for x
    x = 93,496,369,386.06/341,561.92
  6. Step 6: Final answer
    x = 273,731.83

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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.