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Finding the Fourth Proportional to 348,786, 523,183.92 and 99,468

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Solution

The fourth proportional to 348,786, 523,183.92 and 99,468 is: 149,203.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,786 : 523,183.92 = 99,468 : x
  2. Step 2: Convert to fraction form
    348,786/523,183.92 = 99,468/x
  3. Step 3: Cross multiply
    348,786x = 523,183.92 × 99,468
  4. Step 4: Simplify right side
    348,786x = 52,040,058,154.56
  5. Step 5: Solve for x
    x = 52,040,058,154.56/348,786
  6. Step 6: Final answer
    x = 149,203.40

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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.