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Finding the Fourth Proportional to 340,431.29, 509,224.78 and 239,222.22

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Solution

The fourth proportional to 340,431.29, 509,224.78 and 239,222.22 is: 357,833.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,431.29 : 509,224.78 = 239,222.22 : x
  2. Step 2: Convert to fraction form
    340,431.29/509,224.78 = 239,222.22/x
  3. Step 3: Cross multiply
    340,431.29x = 509,224.78 × 239,222.22
  4. Step 4: Simplify right side
    340,431.29x = 121,817,884,488.74
  5. Step 5: Solve for x
    x = 121,817,884,488.74/340,431.29
  6. Step 6: Final answer
    x = 357,833.99

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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.