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Finding the Fourth Proportional to 511,089.05, 705,307.53 and 281,654.56

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Solution

The fourth proportional to 511,089.05, 705,307.53 and 281,654.56 is: 388,685.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,089.05 : 705,307.53 = 281,654.56 : x
  2. Step 2: Convert to fraction form
    511,089.05/705,307.53 = 281,654.56/x
  3. Step 3: Cross multiply
    511,089.05x = 705,307.53 × 281,654.56
  4. Step 4: Simplify right side
    511,089.05x = 198,653,083,964.68
  5. Step 5: Solve for x
    x = 198,653,083,964.68/511,089.05
  6. Step 6: Final answer
    x = 388,685.85

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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.