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Finding the Fourth Proportional to 338,313.70, 466,922.64 and 195,045.76

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Solution

The fourth proportional to 338,313.70, 466,922.64 and 195,045.76 is: 269,191.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,313.70 : 466,922.64 = 195,045.76 : x
  2. Step 2: Convert to fraction form
    338,313.70/466,922.64 = 195,045.76/x
  3. Step 3: Cross multiply
    338,313.70x = 466,922.64 × 195,045.76
  4. Step 4: Simplify right side
    338,313.70x = 91,071,281,180.01
  5. Step 5: Solve for x
    x = 91,071,281,180.01/338,313.70
  6. Step 6: Final answer
    x = 269,191.82

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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.