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Finding the Fourth Proportional to 517,340.57, 713,924.84 and 287,893.94

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Solution

The fourth proportional to 517,340.57, 713,924.84 and 287,893.94 is: 397,290.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,340.57 : 713,924.84 = 287,893.94 : x
  2. Step 2: Convert to fraction form
    517,340.57/713,924.84 = 287,893.94/x
  3. Step 3: Cross multiply
    517,340.57x = 713,924.84 × 287,893.94
  4. Step 4: Simplify right side
    517,340.57x = 205,534,630,042.38
  5. Step 5: Solve for x
    x = 205,534,630,042.38/517,340.57
  6. Step 6: Final answer
    x = 397,290.77

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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.