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Finding the Fourth Proportional to 312,028.17, 468,040.80 and 75,370.14

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Solution

The fourth proportional to 312,028.17, 468,040.80 and 75,370.14 is: 113,054.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,028.17 : 468,040.80 = 75,370.14 : x
  2. Step 2: Convert to fraction form
    312,028.17/468,040.80 = 75,370.14/x
  3. Step 3: Cross multiply
    312,028.17x = 468,040.80 × 75,370.14
  4. Step 4: Simplify right side
    312,028.17x = 35,276,300,621.71
  5. Step 5: Solve for x
    x = 35,276,300,621.71/312,028.17
  6. Step 6: Final answer
    x = 113,054.86

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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.