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Finding the Fourth Proportional to 341,938, 471,865.80 and 191,036.08

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Solution

The fourth proportional to 341,938, 471,865.80 and 191,036.08 is: 263,624.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,938 : 471,865.80 = 191,036.08 : x
  2. Step 2: Convert to fraction form
    341,938/471,865.80 = 191,036.08/x
  3. Step 3: Cross multiply
    341,938x = 471,865.80 × 191,036.08
  4. Step 4: Simplify right side
    341,938x = 90,143,392,718.06
  5. Step 5: Solve for x
    x = 90,143,392,718.06/341,938
  6. Step 6: Final answer
    x = 263,624.96

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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.