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Finding the Fourth Proportional to 517,180.27, 713,706.58 and 287,759.51

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Solution

The fourth proportional to 517,180.27, 713,706.58 and 287,759.51 is: 397,106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,180.27 : 713,706.58 = 287,759.51 : x
  2. Step 2: Convert to fraction form
    517,180.27/713,706.58 = 287,759.51/x
  3. Step 3: Cross multiply
    517,180.27x = 713,706.58 × 287,759.51
  4. Step 4: Simplify right side
    517,180.27x = 205,375,855,744.58
  5. Step 5: Solve for x
    x = 205,375,855,744.58/517,180.27
  6. Step 6: Final answer
    x = 397,106.90

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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.