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Finding the Fourth Proportional to 341,729.29, 471,584.53 and 188,777.98

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Solution

The fourth proportional to 341,729.29, 471,584.53 and 188,777.98 is: 260,512.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,729.29 : 471,584.53 = 188,777.98 : x
  2. Step 2: Convert to fraction form
    341,729.29/471,584.53 = 188,777.98/x
  3. Step 3: Cross multiply
    341,729.29x = 471,584.53 × 188,777.98
  4. Step 4: Simplify right side
    341,729.29x = 89,024,774,972.65
  5. Step 5: Solve for x
    x = 89,024,774,972.65/341,729.29
  6. Step 6: Final answer
    x = 260,512.57

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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.