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Finding the Fourth Proportional to 341,746.92, 471,613.86 and 198,513

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Solution

The fourth proportional to 341,746.92, 471,613.86 and 198,513 is: 273,949.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,746.92 : 471,613.86 = 198,513 : x
  2. Step 2: Convert to fraction form
    341,746.92/471,613.86 = 198,513/x
  3. Step 3: Cross multiply
    341,746.92x = 471,613.86 × 198,513
  4. Step 4: Simplify right side
    341,746.92x = 93,621,482,190.18
  5. Step 5: Solve for x
    x = 93,621,482,190.18/341,746.92
  6. Step 6: Final answer
    x = 273,949.75

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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.