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Finding the Fourth Proportional to 511,089.59, 705,308.36 and 281,655.09

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Solution

The fourth proportional to 511,089.59, 705,308.36 and 281,655.09 is: 388,686.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,089.59 : 705,308.36 = 281,655.09 : x
  2. Step 2: Convert to fraction form
    511,089.59/705,308.36 = 281,655.09/x
  3. Step 3: Cross multiply
    511,089.59x = 705,308.36 × 281,655.09
  4. Step 4: Simplify right side
    511,089.59x = 198,653,690,317.69
  5. Step 5: Solve for x
    x = 198,653,690,317.69/511,089.59
  6. Step 6: Final answer
    x = 388,686.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.