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Finding the Fourth Proportional to 543,187.47, 749,584.42 and 301,463.83

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Solution

The fourth proportional to 543,187.47, 749,584.42 and 301,463.83 is: 416,012.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,187.47 : 749,584.42 = 301,463.83 : x
  2. Step 2: Convert to fraction form
    543,187.47/749,584.42 = 301,463.83/x
  3. Step 3: Cross multiply
    543,187.47x = 749,584.42 × 301,463.83
  4. Step 4: Simplify right side
    543,187.47x = 225,972,590,161.53
  5. Step 5: Solve for x
    x = 225,972,590,161.53/543,187.47
  6. Step 6: Final answer
    x = 416,012.16

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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.