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Finding the Fourth Proportional to 405,097.92, 559,035.18 and 235,342.98

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Solution

The fourth proportional to 405,097.92, 559,035.18 and 235,342.98 is: 324,773.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,097.92 : 559,035.18 = 235,342.98 : x
  2. Step 2: Convert to fraction form
    405,097.92/559,035.18 = 235,342.98/x
  3. Step 3: Cross multiply
    405,097.92x = 559,035.18 × 235,342.98
  4. Step 4: Simplify right side
    405,097.92x = 131,565,005,186.04
  5. Step 5: Solve for x
    x = 131,565,005,186.04/405,097.92
  6. Step 6: Final answer
    x = 324,773.34

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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.