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Finding the Fourth Proportional to 420,414.94, 580,184.94 and 229,440.70

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Solution

The fourth proportional to 420,414.94, 580,184.94 and 229,440.70 is: 316,634.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,414.94 : 580,184.94 = 229,440.70 : x
  2. Step 2: Convert to fraction form
    420,414.94/580,184.94 = 229,440.70/x
  3. Step 3: Cross multiply
    420,414.94x = 580,184.94 × 229,440.70
  4. Step 4: Simplify right side
    420,414.94x = 133,118,038,763.06
  5. Step 5: Solve for x
    x = 133,118,038,763.06/420,414.94
  6. Step 6: Final answer
    x = 316,634.89

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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.