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Finding the Fourth Proportional to 341,323.48, 471,023.10 and 188,363.08

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Solution

The fourth proportional to 341,323.48, 471,023.10 and 188,363.08 is: 259,939.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,323.48 : 471,023.10 = 188,363.08 : x
  2. Step 2: Convert to fraction form
    341,323.48/471,023.10 = 188,363.08/x
  3. Step 3: Cross multiply
    341,323.48x = 471,023.10 × 188,363.08
  4. Step 4: Simplify right side
    341,323.48x = 88,723,361,867.15
  5. Step 5: Solve for x
    x = 88,723,361,867.15/341,323.48
  6. Step 6: Final answer
    x = 259,939.23

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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.