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Finding the Fourth Proportional to 524,933.90, 724,408.59 and 286,469.90

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Solution

The fourth proportional to 524,933.90, 724,408.59 and 286,469.90 is: 395,328.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,933.90 : 724,408.59 = 286,469.90 : x
  2. Step 2: Convert to fraction form
    524,933.90/724,408.59 = 286,469.90/x
  3. Step 3: Cross multiply
    524,933.90x = 724,408.59 × 286,469.90
  4. Step 4: Simplify right side
    524,933.90x = 207,521,256,336.44
  5. Step 5: Solve for x
    x = 207,521,256,336.44/524,933.90
  6. Step 6: Final answer
    x = 395,328.36

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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.