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Finding the Fourth Proportional to 340,235.82, 510,551.46 and 188,448.30

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Solution

The fourth proportional to 340,235.82, 510,551.46 and 188,448.30 is: 282,781.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,235.82 : 510,551.46 = 188,448.30 : x
  2. Step 2: Convert to fraction form
    340,235.82/510,551.46 = 188,448.30/x
  3. Step 3: Cross multiply
    340,235.82x = 510,551.46 × 188,448.30
  4. Step 4: Simplify right side
    340,235.82x = 96,212,554,699.52
  5. Step 5: Solve for x
    x = 96,212,554,699.52/340,235.82
  6. Step 6: Final answer
    x = 282,781.97

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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.