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Finding the Fourth Proportional to 784,843, 1,177,275.57 and 223,877.50

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Solution

The fourth proportional to 784,843, 1,177,275.57 and 223,877.50 is: 335,819.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,843 : 1,177,275.57 = 223,877.50 : x
  2. Step 2: Convert to fraction form
    784,843/1,177,275.57 = 223,877.50/x
  3. Step 3: Cross multiply
    784,843x = 1,177,275.57 × 223,877.50
  4. Step 4: Simplify right side
    784,843x = 263,565,511,422.68
  5. Step 5: Solve for x
    x = 263,565,511,422.68/784,843
  6. Step 6: Final answer
    x = 335,819.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.