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Finding the Fourth Proportional to 501,905.46, 752,698.52 and 164,867.92

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Solution

The fourth proportional to 501,905.46, 752,698.52 and 164,867.92 is: 247,249.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,905.46 : 752,698.52 = 164,867.92 : x
  2. Step 2: Convert to fraction form
    501,905.46/752,698.52 = 164,867.92/x
  3. Step 3: Cross multiply
    501,905.46x = 752,698.52 × 164,867.92
  4. Step 4: Simplify right side
    501,905.46x = 124,095,837,909.90
  5. Step 5: Solve for x
    x = 124,095,837,909.90/501,905.46
  6. Step 6: Final answer
    x = 247,249.43

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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.