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Finding the Fourth Proportional to 407,933.84, 562,791.24 and 300,758.48

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Solution

The fourth proportional to 407,933.84, 562,791.24 and 300,758.48 is: 414,930.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,933.84 : 562,791.24 = 300,758.48 : x
  2. Step 2: Convert to fraction form
    407,933.84/562,791.24 = 300,758.48/x
  3. Step 3: Cross multiply
    407,933.84x = 562,791.24 × 300,758.48
  4. Step 4: Simplify right side
    407,933.84x = 169,264,237,899.72
  5. Step 5: Solve for x
    x = 169,264,237,899.72/407,933.84
  6. Step 6: Final answer
    x = 414,930.61

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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.