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Finding the Fourth Proportional to 463,558.56, 695,649.42 and 164,037.90

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Solution

The fourth proportional to 463,558.56, 695,649.42 and 164,037.90 is: 246,167.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,558.56 : 695,649.42 = 164,037.90 : x
  2. Step 2: Convert to fraction form
    463,558.56/695,649.42 = 164,037.90/x
  3. Step 3: Cross multiply
    463,558.56x = 695,649.42 × 164,037.90
  4. Step 4: Simplify right side
    463,558.56x = 114,112,869,993.02
  5. Step 5: Solve for x
    x = 114,112,869,993.02/463,558.56
  6. Step 6: Final answer
    x = 246,167.11

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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.