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Finding the Fourth Proportional to 501,843.76, 752,321.94 and 384,040.96

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Solution

The fourth proportional to 501,843.76, 752,321.94 and 384,040.96 is: 575,721.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,843.76 : 752,321.94 = 384,040.96 : x
  2. Step 2: Convert to fraction form
    501,843.76/752,321.94 = 384,040.96/x
  3. Step 3: Cross multiply
    501,843.76x = 752,321.94 × 384,040.96
  4. Step 4: Simplify right side
    501,843.76x = 288,922,440,066.66
  5. Step 5: Solve for x
    x = 288,922,440,066.66/501,843.76
  6. Step 6: Final answer
    x = 575,721.89

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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.