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Finding the Fourth Proportional to 802,282.56, 1,107,260.48 and 462,743.36

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Solution

The fourth proportional to 802,282.56, 1,107,260.48 and 462,743.36 is: 638,649.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,282.56 : 1,107,260.48 = 462,743.36 : x
  2. Step 2: Convert to fraction form
    802,282.56/1,107,260.48 = 462,743.36/x
  3. Step 3: Cross multiply
    802,282.56x = 1,107,260.48 × 462,743.36
  4. Step 4: Simplify right side
    802,282.56x = 512,377,434,910.41
  5. Step 5: Solve for x
    x = 512,377,434,910.41/802,282.56
  6. Step 6: Final answer
    x = 638,649.60

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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.