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Finding the Fourth Proportional to 509,215.69, 762,659.97 and 243,162.55

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Solution

The fourth proportional to 509,215.69, 762,659.97 and 243,162.55 is: 364,188.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,215.69 : 762,659.97 = 243,162.55 : x
  2. Step 2: Convert to fraction form
    509,215.69/762,659.97 = 243,162.55/x
  3. Step 3: Cross multiply
    509,215.69x = 762,659.97 × 243,162.55
  4. Step 4: Simplify right side
    509,215.69x = 185,450,343,088.12
  5. Step 5: Solve for x
    x = 185,450,343,088.12/509,215.69
  6. Step 6: Final answer
    x = 364,188.20

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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.