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Finding the Fourth Proportional to 880,224, 1,214,723.76 and 477,816

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Solution

The fourth proportional to 880,224, 1,214,723.76 and 477,816 is: 659,394.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    880,224 : 1,214,723.76 = 477,816 : x
  2. Step 2: Convert to fraction form
    880,224/1,214,723.76 = 477,816/x
  3. Step 3: Cross multiply
    880,224x = 1,214,723.76 × 477,816
  4. Step 4: Simplify right side
    880,224x = 580,414,448,108.16
  5. Step 5: Solve for x
    x = 580,414,448,108.16/880,224
  6. Step 6: Final answer
    x = 659,394.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.