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Finding the Fourth Proportional to 517,173.12, 713,685.15 and 287,718.75

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Solution

The fourth proportional to 517,173.12, 713,685.15 and 287,718.75 is: 397,044.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,173.12 : 713,685.15 = 287,718.75 : x
  2. Step 2: Convert to fraction form
    517,173.12/713,685.15 = 287,718.75/x
  3. Step 3: Cross multiply
    517,173.12x = 713,685.15 × 287,718.75
  4. Step 4: Simplify right side
    517,173.12x = 205,340,599,251.56
  5. Step 5: Solve for x
    x = 205,340,599,251.56/517,173.12
  6. Step 6: Final answer
    x = 397,044.22

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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.