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Finding the Fourth Proportional to 405,754.11, 559,982.72 and 233,678.22

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Solution

The fourth proportional to 405,754.11, 559,982.72 and 233,678.22 is: 322,500.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,754.11 : 559,982.72 = 233,678.22 : x
  2. Step 2: Convert to fraction form
    405,754.11/559,982.72 = 233,678.22/x
  3. Step 3: Cross multiply
    405,754.11x = 559,982.72 × 233,678.22
  4. Step 4: Simplify right side
    405,754.11x = 130,855,762,410.18
  5. Step 5: Solve for x
    x = 130,855,762,410.18/405,754.11
  6. Step 6: Final answer
    x = 322,500.15

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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.