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Finding the Fourth Proportional to 563,447.70, 845,352.18 and 164,112.48

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Solution

The fourth proportional to 563,447.70, 845,352.18 and 164,112.48 is: 246,221.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,447.70 : 845,352.18 = 164,112.48 : x
  2. Step 2: Convert to fraction form
    563,447.70/845,352.18 = 164,112.48/x
  3. Step 3: Cross multiply
    563,447.70x = 845,352.18 × 164,112.48
  4. Step 4: Simplify right side
    563,447.70x = 138,732,842,733.21
  5. Step 5: Solve for x
    x = 138,732,842,733.21/563,447.70
  6. Step 6: Final answer
    x = 246,221.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.