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Finding the Fourth Proportional to 463,557.56, 695,647.92 and 164,036.90

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Solution

The fourth proportional to 463,557.56, 695,647.92 and 164,036.90 is: 246,165.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,557.56 : 695,647.92 = 164,036.90 : x
  2. Step 2: Convert to fraction form
    463,557.56/695,647.92 = 164,036.90/x
  3. Step 3: Cross multiply
    463,557.56x = 695,647.92 × 164,036.90
  4. Step 4: Simplify right side
    463,557.56x = 114,111,928,288.25
  5. Step 5: Solve for x
    x = 114,111,928,288.25/463,557.56
  6. Step 6: Final answer
    x = 246,165.61

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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.