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Finding the Fourth Proportional to 517,654.89, 776,558.84 and 265,078.17

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Solution

The fourth proportional to 517,654.89, 776,558.84 and 265,078.17 is: 397,656.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,654.89 : 776,558.84 = 265,078.17 : x
  2. Step 2: Convert to fraction form
    517,654.89/776,558.84 = 265,078.17/x
  3. Step 3: Cross multiply
    517,654.89x = 776,558.84 × 265,078.17
  4. Step 4: Simplify right side
    517,654.89x = 205,848,794,879.13
  5. Step 5: Solve for x
    x = 205,848,794,879.13/517,654.89
  6. Step 6: Final answer
    x = 397,656.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.