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Finding the Fourth Proportional to 709,175.66, 978,622.16 and 403,209.09

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Solution

The fourth proportional to 709,175.66, 978,622.16 and 403,209.09 is: 556,405.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,175.66 : 978,622.16 = 403,209.09 : x
  2. Step 2: Convert to fraction form
    709,175.66/978,622.16 = 403,209.09/x
  3. Step 3: Cross multiply
    709,175.66x = 978,622.16 × 403,209.09
  4. Step 4: Simplify right side
    709,175.66x = 394,589,348,571.39
  5. Step 5: Solve for x
    x = 394,589,348,571.39/709,175.66
  6. Step 6: Final answer
    x = 556,405.66

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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.