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Finding the Fourth Proportional to 264,932.96, 365,478.88 and 157,426.86

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Solution

The fourth proportional to 264,932.96, 365,478.88 and 157,426.86 is: 217,172.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,932.96 : 365,478.88 = 157,426.86 : x
  2. Step 2: Convert to fraction form
    264,932.96/365,478.88 = 157,426.86/x
  3. Step 3: Cross multiply
    264,932.96x = 365,478.88 × 157,426.86
  4. Step 4: Simplify right side
    264,932.96x = 57,536,192,474.72
  5. Step 5: Solve for x
    x = 57,536,192,474.72/264,932.96
  6. Step 6: Final answer
    x = 217,172.65

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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.