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Finding the Fourth Proportional to 230,546, 318,415.92 and 154,963.28

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Solution

The fourth proportional to 230,546, 318,415.92 and 154,963.28 is: 214,025.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,546 : 318,415.92 = 154,963.28 : x
  2. Step 2: Convert to fraction form
    230,546/318,415.92 = 154,963.28/x
  3. Step 3: Cross multiply
    230,546x = 318,415.92 × 154,963.28
  4. Step 4: Simplify right side
    230,546x = 49,342,775,367.42
  5. Step 5: Solve for x
    x = 49,342,775,367.42/230,546
  6. Step 6: Final answer
    x = 214,025.73

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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.