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Finding the Fourth Proportional to 341,585.16, 471,351.74 and 198,317.22

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Solution

The fourth proportional to 341,585.16, 471,351.74 and 198,317.22 is: 273,656.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,585.16 : 471,351.74 = 198,317.22 : x
  2. Step 2: Convert to fraction form
    341,585.16/471,351.74 = 198,317.22/x
  3. Step 3: Cross multiply
    341,585.16x = 471,351.74 × 198,317.22
  4. Step 4: Simplify right side
    341,585.16x = 93,477,165,727.38
  5. Step 5: Solve for x
    x = 93,477,165,727.38/341,585.16
  6. Step 6: Final answer
    x = 273,656.99

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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.