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Finding the Fourth Proportional to 563,489.82, 845,372.43 and 164,124.18

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Solution

The fourth proportional to 563,489.82, 845,372.43 and 164,124.18 is: 246,226.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,489.82 : 845,372.43 = 164,124.18 : x
  2. Step 2: Convert to fraction form
    563,489.82/845,372.43 = 164,124.18/x
  3. Step 3: Cross multiply
    563,489.82x = 845,372.43 × 164,124.18
  4. Step 4: Simplify right side
    563,489.82x = 138,746,056,868.36
  5. Step 5: Solve for x
    x = 138,746,056,868.36/563,489.82
  6. Step 6: Final answer
    x = 246,226.38

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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.