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Finding the Fourth Proportional to 563,677.33, 845,656.12 and 164,321.61

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Solution

The fourth proportional to 563,677.33, 845,656.12 and 164,321.61 is: 246,523.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,677.33 : 845,656.12 = 164,321.61 : x
  2. Step 2: Convert to fraction form
    563,677.33/845,656.12 = 164,321.61/x
  3. Step 3: Cross multiply
    563,677.33x = 845,656.12 × 164,321.61
  4. Step 4: Simplify right side
    563,677.33x = 138,959,577,397.92
  5. Step 5: Solve for x
    x = 138,959,577,397.92/563,677.33
  6. Step 6: Final answer
    x = 246,523.27

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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.