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Finding the Fourth Proportional to 543,306.69, 814,775.49 and 188,237.84

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Solution

The fourth proportional to 543,306.69, 814,775.49 and 188,237.84 is: 282,292.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,306.69 : 814,775.49 = 188,237.84 : x
  2. Step 2: Convert to fraction form
    543,306.69/814,775.49 = 188,237.84/x
  3. Step 3: Cross multiply
    543,306.69x = 814,775.49 × 188,237.84
  4. Step 4: Simplify right side
    543,306.69x = 153,371,574,248.66
  5. Step 5: Solve for x
    x = 153,371,574,248.66/543,306.69
  6. Step 6: Final answer
    x = 282,292.81

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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.