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Finding the Fourth Proportional to 312,583.14, 468,874.71 and 75,924.23

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Solution

The fourth proportional to 312,583.14, 468,874.71 and 75,924.23 is: 113,886.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,583.14 : 468,874.71 = 75,924.23 : x
  2. Step 2: Convert to fraction form
    312,583.14/468,874.71 = 75,924.23/x
  3. Step 3: Cross multiply
    312,583.14x = 468,874.71 × 75,924.23
  4. Step 4: Simplify right side
    312,583.14x = 35,598,948,978.85
  5. Step 5: Solve for x
    x = 35,598,948,978.85/312,583.14
  6. Step 6: Final answer
    x = 113,886.34

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1.5x scale

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.