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Finding the Fourth Proportional to 349,334, 482,058.24 and 206,061.20

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Solution

The fourth proportional to 349,334, 482,058.24 and 206,061.20 is: 284,351.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,334 : 482,058.24 = 206,061.20 : x
  2. Step 2: Convert to fraction form
    349,334/482,058.24 = 206,061.20/x
  3. Step 3: Cross multiply
    349,334x = 482,058.24 × 206,061.20
  4. Step 4: Simplify right side
    349,334x = 99,333,499,404.29
  5. Step 5: Solve for x
    x = 99,333,499,404.29/349,334
  6. Step 6: Final answer
    x = 284,351.08

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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.