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Finding the Fourth Proportional to 341,433.48, 471,178.29 and 188,471.76

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Solution

The fourth proportional to 341,433.48, 471,178.29 and 188,471.76 is: 260,091.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,433.48 : 471,178.29 = 188,471.76 : x
  2. Step 2: Convert to fraction form
    341,433.48/471,178.29 = 188,471.76/x
  3. Step 3: Cross multiply
    341,433.48x = 471,178.29 × 188,471.76
  4. Step 4: Simplify right side
    341,433.48x = 88,803,801,590.09
  5. Step 5: Solve for x
    x = 88,803,801,590.09/341,433.48
  6. Step 6: Final answer
    x = 260,091.08

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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.