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Finding the Fourth Proportional to 802,309.41, 1,107,308.91 and 512,046.21

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Solution

The fourth proportional to 802,309.41, 1,107,308.91 and 512,046.21 is: 706,701.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,309.41 : 1,107,308.91 = 512,046.21 : x
  2. Step 2: Convert to fraction form
    802,309.41/1,107,308.91 = 512,046.21/x
  3. Step 3: Cross multiply
    802,309.41x = 1,107,308.91 × 512,046.21
  4. Step 4: Simplify right side
    802,309.41x = 566,993,330,664.73
  5. Step 5: Solve for x
    x = 566,993,330,664.73/802,309.41
  6. Step 6: Final answer
    x = 706,701.58

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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.