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Finding the Fourth Proportional to 784,740, 1,177,120.92 and 223,774.50

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Solution

The fourth proportional to 784,740, 1,177,120.92 and 223,774.50 is: 335,664.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,740 : 1,177,120.92 = 223,774.50 : x
  2. Step 2: Convert to fraction form
    784,740/1,177,120.92 = 223,774.50/x
  3. Step 3: Cross multiply
    784,740x = 1,177,120.92 × 223,774.50
  4. Step 4: Simplify right side
    784,740x = 263,409,645,312.54
  5. Step 5: Solve for x
    x = 263,409,645,312.54/784,740
  6. Step 6: Final answer
    x = 335,664.86

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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.