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Finding the Fourth Proportional to 312,392.24, 468,588.35 and 75,734.91

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Solution

The fourth proportional to 312,392.24, 468,588.35 and 75,734.91 is: 113,602.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,392.24 : 468,588.35 = 75,734.91 : x
  2. Step 2: Convert to fraction form
    312,392.24/468,588.35 = 75,734.91/x
  3. Step 3: Cross multiply
    312,392.24x = 468,588.35 × 75,734.91
  4. Step 4: Simplify right side
    312,392.24x = 35,488,496,703.64
  5. Step 5: Solve for x
    x = 35,488,496,703.64/312,392.24
  6. Step 6: Final answer
    x = 113,602.37

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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.