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Finding the Fourth Proportional to 312,274.74, 468,476.91 and 125,300.82

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Solution

The fourth proportional to 312,274.74, 468,476.91 and 125,300.82 is: 187,977.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,274.74 : 468,476.91 = 125,300.82 : x
  2. Step 2: Convert to fraction form
    312,274.74/468,476.91 = 125,300.82/x
  3. Step 3: Cross multiply
    312,274.74x = 468,476.91 × 125,300.82
  4. Step 4: Simplify right side
    312,274.74x = 58,700,540,974.07
  5. Step 5: Solve for x
    x = 58,700,540,974.07/312,274.74
  6. Step 6: Final answer
    x = 187,977.23

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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.