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Finding the Fourth Proportional to 784,778, 1,177,178.07 and 223,812.50

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Solution

The fourth proportional to 784,778, 1,177,178.07 and 223,812.50 is: 335,721.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,778 : 1,177,178.07 = 223,812.50 : x
  2. Step 2: Convert to fraction form
    784,778/1,177,178.07 = 223,812.50/x
  3. Step 3: Cross multiply
    784,778x = 1,177,178.07 × 223,812.50
  4. Step 4: Simplify right side
    784,778x = 263,467,166,791.88
  5. Step 5: Solve for x
    x = 263,467,166,791.88/784,778
  6. Step 6: Final answer
    x = 335,721.91

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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.