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Finding the Fourth Proportional to 362,814.48, 544,221.82 and 106,647.10

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Solution

The fourth proportional to 362,814.48, 544,221.82 and 106,647.10 is: 159,970.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,814.48 : 544,221.82 = 106,647.10 : x
  2. Step 2: Convert to fraction form
    362,814.48/544,221.82 = 106,647.10/x
  3. Step 3: Cross multiply
    362,814.48x = 544,221.82 × 106,647.10
  4. Step 4: Simplify right side
    362,814.48x = 58,039,678,859.72
  5. Step 5: Solve for x
    x = 58,039,678,859.72/362,814.48
  6. Step 6: Final answer
    x = 159,970.68

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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.