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Finding the Fourth Proportional to 405,440.40, 559,414.96 and 242,065.17

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Solution

The fourth proportional to 405,440.40, 559,414.96 and 242,065.17 is: 333,994.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,440.40 : 559,414.96 = 242,065.17 : x
  2. Step 2: Convert to fraction form
    405,440.40/559,414.96 = 242,065.17/x
  3. Step 3: Cross multiply
    405,440.40x = 559,414.96 × 242,065.17
  4. Step 4: Simplify right side
    405,440.40x = 135,414,876,787.78
  5. Step 5: Solve for x
    x = 135,414,876,787.78/405,440.40
  6. Step 6: Final answer
    x = 333,994.53

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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.