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Finding the Fourth Proportional to 509,227.38, 762,678.36 and 243,175.32

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Solution

The fourth proportional to 509,227.38, 762,678.36 and 243,175.32 is: 364,207.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,227.38 : 762,678.36 = 243,175.32 : x
  2. Step 2: Convert to fraction form
    509,227.38/762,678.36 = 243,175.32/x
  3. Step 3: Cross multiply
    509,227.38x = 762,678.36 × 243,175.32
  4. Step 4: Simplify right side
    509,227.38x = 185,464,554,250.08
  5. Step 5: Solve for x
    x = 185,464,554,250.08/509,227.38
  6. Step 6: Final answer
    x = 364,207.74

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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.