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Finding the Fourth Proportional to 312,367.46, 468,551.18 and 75,710.14

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Solution

The fourth proportional to 312,367.46, 468,551.18 and 75,710.14 is: 113,565.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,367.46 : 468,551.18 = 75,710.14 : x
  2. Step 2: Convert to fraction form
    312,367.46/468,551.18 = 75,710.14/x
  3. Step 3: Cross multiply
    312,367.46x = 468,551.18 × 75,710.14
  4. Step 4: Simplify right side
    312,367.46x = 35,474,075,434.97
  5. Step 5: Solve for x
    x = 35,474,075,434.97/312,367.46
  6. Step 6: Final answer
    x = 113,565.21

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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.