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Finding the Fourth Proportional to 340,344, 509,624.16 and 239,960.88

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Solution

The fourth proportional to 340,344, 509,624.16 and 239,960.88 is: 359,312.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,344 : 509,624.16 = 239,960.88 : x
  2. Step 2: Convert to fraction form
    340,344/509,624.16 = 239,960.88/x
  3. Step 3: Cross multiply
    340,344x = 509,624.16 × 239,960.88
  4. Step 4: Simplify right side
    340,344x = 122,289,861,902.86
  5. Step 5: Solve for x
    x = 122,289,861,902.86/340,344
  6. Step 6: Final answer
    x = 359,312.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.