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Finding the Fourth Proportional to 511,394.89, 705,709.66 and 278,812.90

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Solution

The fourth proportional to 511,394.89, 705,709.66 and 278,812.90 is: 384,753.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,394.89 : 705,709.66 = 278,812.90 : x
  2. Step 2: Convert to fraction form
    511,394.89/705,709.66 = 278,812.90/x
  3. Step 3: Cross multiply
    511,394.89x = 705,709.66 × 278,812.90
  4. Step 4: Simplify right side
    511,394.89x = 196,760,956,862.61
  5. Step 5: Solve for x
    x = 196,760,956,862.61/511,394.89
  6. Step 6: Final answer
    x = 384,753.47

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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.