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Finding the Fourth Proportional to 405,824.40, 559,932.59 and 242,414.04

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Solution

The fourth proportional to 405,824.40, 559,932.59 and 242,414.04 is: 334,468.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,824.40 : 559,932.59 = 242,414.04 : x
  2. Step 2: Convert to fraction form
    405,824.40/559,932.59 = 242,414.04/x
  3. Step 3: Cross multiply
    405,824.40x = 559,932.59 × 242,414.04
  4. Step 4: Simplify right side
    405,824.40x = 135,735,521,875.60
  5. Step 5: Solve for x
    x = 135,735,521,875.60/405,824.40
  6. Step 6: Final answer
    x = 334,468.61

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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.