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Finding the Fourth Proportional to 333,838.24, 500,839.28 and 97,183.04

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Solution

The fourth proportional to 333,838.24, 500,839.28 and 97,183.04 is: 145,798.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,838.24 : 500,839.28 = 97,183.04 : x
  2. Step 2: Convert to fraction form
    333,838.24/500,839.28 = 97,183.04/x
  3. Step 3: Cross multiply
    333,838.24x = 500,839.28 × 97,183.04
  4. Step 4: Simplify right side
    333,838.24x = 48,673,083,781.81
  5. Step 5: Solve for x
    x = 48,673,083,781.81/333,838.24
  6. Step 6: Final answer
    x = 145,798.41

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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.