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Finding the Fourth Proportional to 409,388.58, 564,301.89 and 273,153.06

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Solution

The fourth proportional to 409,388.58, 564,301.89 and 273,153.06 is: 376,514.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,388.58 : 564,301.89 = 273,153.06 : x
  2. Step 2: Convert to fraction form
    409,388.58/564,301.89 = 273,153.06/x
  3. Step 3: Cross multiply
    409,388.58x = 564,301.89 × 273,153.06
  4. Step 4: Simplify right side
    409,388.58x = 154,140,788,017.28
  5. Step 5: Solve for x
    x = 154,140,788,017.28/409,388.58
  6. Step 6: Final answer
    x = 376,514.63

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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.