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Finding the Fourth Proportional to 405,934.43, 560,191.01 and 219,665.92

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Solution

The fourth proportional to 405,934.43, 560,191.01 and 219,665.92 is: 303,139.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,934.43 : 560,191.01 = 219,665.92 : x
  2. Step 2: Convert to fraction form
    405,934.43/560,191.01 = 219,665.92/x
  3. Step 3: Cross multiply
    405,934.43x = 560,191.01 × 219,665.92
  4. Step 4: Simplify right side
    405,934.43x = 123,054,873,587.38
  5. Step 5: Solve for x
    x = 123,054,873,587.38/405,934.43
  6. Step 6: Final answer
    x = 303,139.78

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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.