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Finding the Fourth Proportional to 381,694.80, 572,542.20 and 335,038.80

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Solution

The fourth proportional to 381,694.80, 572,542.20 and 335,038.80 is: 502,558.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,694.80 : 572,542.20 = 335,038.80 : x
  2. Step 2: Convert to fraction form
    381,694.80/572,542.20 = 335,038.80/x
  3. Step 3: Cross multiply
    381,694.80x = 572,542.20 × 335,038.80
  4. Step 4: Simplify right side
    381,694.80x = 191,823,851,637.36
  5. Step 5: Solve for x
    x = 191,823,851,637.36/381,694.80
  6. Step 6: Final answer
    x = 502,558.20

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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.