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Finding the Fourth Proportional to 517,044.23, 713,564.13 and 287,644.73

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Solution

The fourth proportional to 517,044.23, 713,564.13 and 287,644.73 is: 396,973.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,044.23 : 713,564.13 = 287,644.73 : x
  2. Step 2: Convert to fraction form
    517,044.23/713,564.13 = 287,644.73/x
  3. Step 3: Cross multiply
    517,044.23x = 713,564.13 × 287,644.73
  4. Step 4: Simplify right side
    517,044.23x = 205,252,961,511.54
  5. Step 5: Solve for x
    x = 205,252,961,511.54/517,044.23
  6. Step 6: Final answer
    x = 396,973.70

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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.