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Finding the Fourth Proportional to 509,055.90, 763,578.09 and 309,431.58

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Solution

The fourth proportional to 509,055.90, 763,578.09 and 309,431.58 is: 464,143.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,055.90 : 763,578.09 = 309,431.58 : x
  2. Step 2: Convert to fraction form
    509,055.90/763,578.09 = 309,431.58/x
  3. Step 3: Cross multiply
    509,055.90x = 763,578.09 × 309,431.58
  4. Step 4: Simplify right side
    509,055.90x = 236,275,174,842.08
  5. Step 5: Solve for x
    x = 236,275,174,842.08/509,055.90
  6. Step 6: Final answer
    x = 464,143.87

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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.