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Finding the Fourth Proportional to 394,805.70, 592,208.66 and 110,538.13

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Solution

The fourth proportional to 394,805.70, 592,208.66 and 110,538.13 is: 165,807.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,805.70 : 592,208.66 = 110,538.13 : x
  2. Step 2: Convert to fraction form
    394,805.70/592,208.66 = 110,538.13/x
  3. Step 3: Cross multiply
    394,805.70x = 592,208.66 × 110,538.13
  4. Step 4: Simplify right side
    394,805.70x = 65,461,637,846.21
  5. Step 5: Solve for x
    x = 65,461,637,846.21/394,805.70
  6. Step 6: Final answer
    x = 165,807.23

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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.