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Finding the Fourth Proportional to 312,368.38, 468,548.40 and 75,713.14

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Solution

The fourth proportional to 312,368.38, 468,548.40 and 75,713.14 is: 113,568.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,368.38 : 468,548.40 = 75,713.14 : x
  2. Step 2: Convert to fraction form
    312,368.38/468,548.40 = 75,713.14/x
  3. Step 3: Cross multiply
    312,368.38x = 468,548.40 × 75,713.14
  4. Step 4: Simplify right side
    312,368.38x = 35,475,270,605.98
  5. Step 5: Solve for x
    x = 35,475,270,605.98/312,368.38
  6. Step 6: Final answer
    x = 113,568.70

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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.