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Finding the Fourth Proportional to 379,404.56, 523,578.12 and 209,637.20

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Solution

The fourth proportional to 379,404.56, 523,578.12 and 209,637.20 is: 289,299.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,404.56 : 523,578.12 = 209,637.20 : x
  2. Step 2: Convert to fraction form
    379,404.56/523,578.12 = 209,637.20/x
  3. Step 3: Cross multiply
    379,404.56x = 523,578.12 × 209,637.20
  4. Step 4: Simplify right side
    379,404.56x = 109,761,451,058.06
  5. Step 5: Solve for x
    x = 109,761,451,058.06/379,404.56
  6. Step 6: Final answer
    x = 289,299.24

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1.5x scale

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.