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Finding the Fourth Proportional to 505,706.27, 697,899.57 and 287,919.27

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Solution

The fourth proportional to 505,706.27, 697,899.57 and 287,919.27 is: 397,342.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,706.27 : 697,899.57 = 287,919.27 : x
  2. Step 2: Convert to fraction form
    505,706.27/697,899.57 = 287,919.27/x
  3. Step 3: Cross multiply
    505,706.27x = 697,899.57 × 287,919.27
  4. Step 4: Simplify right side
    505,706.27x = 200,938,734,727.71
  5. Step 5: Solve for x
    x = 200,938,734,727.71/505,706.27
  6. Step 6: Final answer
    x = 397,342.78

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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.