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Finding the Fourth Proportional to 563,514.54, 845,410.22 and 164,158.82

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Solution

The fourth proportional to 563,514.54, 845,410.22 and 164,158.82 is: 246,278.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,514.54 : 845,410.22 = 164,158.82 : x
  2. Step 2: Convert to fraction form
    563,514.54/845,410.22 = 164,158.82/x
  3. Step 3: Cross multiply
    563,514.54x = 845,410.22 × 164,158.82
  4. Step 4: Simplify right side
    563,514.54x = 138,781,544,131.14
  5. Step 5: Solve for x
    x = 138,781,544,131.14/563,514.54
  6. Step 6: Final answer
    x = 246,278.55

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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.