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Finding the Fourth Proportional to 516,706.80, 775,208.43 and 217,033.26

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Solution

The fourth proportional to 516,706.80, 775,208.43 and 217,033.26 is: 325,612.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,706.80 : 775,208.43 = 217,033.26 : x
  2. Step 2: Convert to fraction form
    516,706.80/775,208.43 = 217,033.26/x
  3. Step 3: Cross multiply
    516,706.80x = 775,208.43 × 217,033.26
  4. Step 4: Simplify right side
    516,706.80x = 168,246,012,742.38
  5. Step 5: Solve for x
    x = 168,246,012,742.38/516,706.80
  6. Step 6: Final answer
    x = 325,612.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.