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Finding the Fourth Proportional to 405,593.14, 559,549.40 and 233,469.92

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Solution

The fourth proportional to 405,593.14, 559,549.40 and 233,469.92 is: 322,091.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,593.14 : 559,549.40 = 233,469.92 : x
  2. Step 2: Convert to fraction form
    405,593.14/559,549.40 = 233,469.92/x
  3. Step 3: Cross multiply
    405,593.14x = 559,549.40 × 233,469.92
  4. Step 4: Simplify right side
    405,593.14x = 130,637,951,439.98
  5. Step 5: Solve for x
    x = 130,637,951,439.98/405,593.14
  6. Step 6: Final answer
    x = 322,091.13

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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.