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Finding the Fourth Proportional to 291,675, 437,514.32 and 81,314.76

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Solution

The fourth proportional to 291,675, 437,514.32 and 81,314.76 is: 121,972.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,675 : 437,514.32 = 81,314.76 : x
  2. Step 2: Convert to fraction form
    291,675/437,514.32 = 81,314.76/x
  3. Step 3: Cross multiply
    291,675x = 437,514.32 × 81,314.76
  4. Step 4: Simplify right side
    291,675x = 35,576,371,927.36
  5. Step 5: Solve for x
    x = 35,576,371,927.36/291,675
  6. Step 6: Final answer
    x = 121,972.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.