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Finding the Fourth Proportional to 784,842, 1,177,274.07 and 223,876.50

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Solution

The fourth proportional to 784,842, 1,177,274.07 and 223,876.50 is: 335,817.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,842 : 1,177,274.07 = 223,876.50 : x
  2. Step 2: Convert to fraction form
    784,842/1,177,274.07 = 223,876.50/x
  3. Step 3: Cross multiply
    784,842x = 1,177,274.07 × 223,876.50
  4. Step 4: Simplify right side
    784,842x = 263,563,998,332.36
  5. Step 5: Solve for x
    x = 263,563,998,332.36/784,842
  6. Step 6: Final answer
    x = 335,817.91

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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.