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Finding the Fourth Proportional to 405,532.38, 559,704.12 and 235,864.92

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Solution

The fourth proportional to 405,532.38, 559,704.12 and 235,864.92 is: 325,533.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,532.38 : 559,704.12 = 235,864.92 : x
  2. Step 2: Convert to fraction form
    405,532.38/559,704.12 = 235,864.92/x
  3. Step 3: Cross multiply
    405,532.38x = 559,704.12 × 235,864.92
  4. Step 4: Simplify right side
    405,532.38x = 132,014,567,487.47
  5. Step 5: Solve for x
    x = 132,014,567,487.47/405,532.38
  6. Step 6: Final answer
    x = 325,533.97

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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.