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Finding the Fourth Proportional to 312,554.66, 468,825.51 and 75,898.58

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Solution

The fourth proportional to 312,554.66, 468,825.51 and 75,898.58 is: 113,846.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,554.66 : 468,825.51 = 75,898.58 : x
  2. Step 2: Convert to fraction form
    312,554.66/468,825.51 = 75,898.58/x
  3. Step 3: Cross multiply
    312,554.66x = 468,825.51 × 75,898.58
  4. Step 4: Simplify right side
    312,554.66x = 35,583,190,476.78
  5. Step 5: Solve for x
    x = 35,583,190,476.78/312,554.66
  6. Step 6: Final answer
    x = 113,846.30

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Why These Related Problems?

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