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Finding the Fourth Proportional to 405,281.62, 559,358.09 and 235,614.16

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Solution

The fourth proportional to 405,281.62, 559,358.09 and 235,614.16 is: 325,187.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,281.62 : 559,358.09 = 235,614.16 : x
  2. Step 2: Convert to fraction form
    405,281.62/559,358.09 = 235,614.16/x
  3. Step 3: Cross multiply
    405,281.62x = 559,358.09 × 235,614.16
  4. Step 4: Simplify right side
    405,281.62x = 131,792,686,514.55
  5. Step 5: Solve for x
    x = 131,792,686,514.55/405,281.62
  6. Step 6: Final answer
    x = 325,187.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.