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Finding the Fourth Proportional to 405,329.82, 559,298.01 and 230,904.61

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Solution

The fourth proportional to 405,329.82, 559,298.01 and 230,904.61 is: 318,615.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,329.82 : 559,298.01 = 230,904.61 : x
  2. Step 2: Convert to fraction form
    405,329.82/559,298.01 = 230,904.61/x
  3. Step 3: Cross multiply
    405,329.82x = 559,298.01 × 230,904.61
  4. Step 4: Simplify right side
    405,329.82x = 129,144,489,238.82
  5. Step 5: Solve for x
    x = 129,144,489,238.82/405,329.82
  6. Step 6: Final answer
    x = 318,615.81

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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.