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Finding the Fourth Proportional to 563,655.70, 845,471.04 and 137,193.34

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Solution

The fourth proportional to 563,655.70, 845,471.04 and 137,193.34 is: 205,786.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,655.70 : 845,471.04 = 137,193.34 : x
  2. Step 2: Convert to fraction form
    563,655.70/845,471.04 = 137,193.34/x
  3. Step 3: Cross multiply
    563,655.70x = 845,471.04 × 137,193.34
  4. Step 4: Simplify right side
    563,655.70x = 115,992,995,850.87
  5. Step 5: Solve for x
    x = 115,992,995,850.87/563,655.70
  6. Step 6: Final answer
    x = 205,786.97

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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.