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Finding the Fourth Proportional to 516,991.86, 713,461.05 and 287,558.46

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Solution

The fourth proportional to 516,991.86, 713,461.05 and 287,558.46 is: 396,837.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,991.86 : 713,461.05 = 287,558.46 : x
  2. Step 2: Convert to fraction form
    516,991.86/713,461.05 = 287,558.46/x
  3. Step 3: Cross multiply
    516,991.86x = 713,461.05 × 287,558.46
  4. Step 4: Simplify right side
    516,991.86x = 205,161,760,807.98
  5. Step 5: Solve for x
    x = 205,161,760,807.98/516,991.86
  6. Step 6: Final answer
    x = 396,837.51

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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.