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Finding the Fourth Proportional to 543,306.94, 814,775.86 and 188,238.09

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Solution

The fourth proportional to 543,306.94, 814,775.86 and 188,238.09 is: 282,293.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,306.94 : 814,775.86 = 188,238.09 : x
  2. Step 2: Convert to fraction form
    543,306.94/814,775.86 = 188,238.09/x
  3. Step 3: Cross multiply
    543,306.94x = 814,775.86 × 188,238.09
  4. Step 4: Simplify right side
    543,306.94x = 153,371,851,664.51
  5. Step 5: Solve for x
    x = 153,371,851,664.51/543,306.94
  6. Step 6: Final answer
    x = 282,293.19

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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.