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Finding the Fourth Proportional to 802,048, 1,106,826.24 and 479,771.68

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Solution

The fourth proportional to 802,048, 1,106,826.24 and 479,771.68 is: 662,084.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,048 : 1,106,826.24 = 479,771.68 : x
  2. Step 2: Convert to fraction form
    802,048/1,106,826.24 = 479,771.68/x
  3. Step 3: Cross multiply
    802,048x = 1,106,826.24 × 479,771.68
  4. Step 4: Simplify right side
    802,048x = 531,023,884,632.88
  5. Step 5: Solve for x
    x = 531,023,884,632.88/802,048
  6. Step 6: Final answer
    x = 662,084.92

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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.