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Finding the Fourth Proportional to 409,291.58, 564,606.86 and 273,331.26

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Solution

The fourth proportional to 409,291.58, 564,606.86 and 273,331.26 is: 377,053.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,291.58 : 564,606.86 = 273,331.26 : x
  2. Step 2: Convert to fraction form
    409,291.58/564,606.86 = 273,331.26/x
  3. Step 3: Cross multiply
    409,291.58x = 564,606.86 × 273,331.26
  4. Step 4: Simplify right side
    409,291.58x = 154,324,703,081.79
  5. Step 5: Solve for x
    x = 154,324,703,081.79/409,291.58
  6. Step 6: Final answer
    x = 377,053.21

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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.