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Finding the Fourth Proportional to 509,214.69, 762,658.47 and 243,161.55

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Solution

The fourth proportional to 509,214.69, 762,658.47 and 243,161.55 is: 364,186.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,214.69 : 762,658.47 = 243,161.55 : x
  2. Step 2: Convert to fraction form
    509,214.69/762,658.47 = 243,161.55/x
  3. Step 3: Cross multiply
    509,214.69x = 762,658.47 × 243,161.55
  4. Step 4: Simplify right side
    509,214.69x = 185,449,215,685.83
  5. Step 5: Solve for x
    x = 185,449,215,685.83/509,214.69
  6. Step 6: Final answer
    x = 364,186.70

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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.