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Finding the Fourth Proportional to 412,367.54, 569,102.10 and 231,077.39

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Solution

The fourth proportional to 412,367.54, 569,102.10 and 231,077.39 is: 318,906.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,367.54 : 569,102.10 = 231,077.39 : x
  2. Step 2: Convert to fraction form
    412,367.54/569,102.10 = 231,077.39/x
  3. Step 3: Cross multiply
    412,367.54x = 569,102.10 × 231,077.39
  4. Step 4: Simplify right side
    412,367.54x = 131,506,627,911.52
  5. Step 5: Solve for x
    x = 131,506,627,911.52/412,367.54
  6. Step 6: Final answer
    x = 318,906.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.