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Finding the Fourth Proportional to 296,350, 444,564.06 and 96,600.40

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Solution

The fourth proportional to 296,350, 444,564.06 and 96,600.40 is: 144,913.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,350 : 444,564.06 = 96,600.40 : x
  2. Step 2: Convert to fraction form
    296,350/444,564.06 = 96,600.40/x
  3. Step 3: Cross multiply
    296,350x = 444,564.06 × 96,600.40
  4. Step 4: Simplify right side
    296,350x = 42,945,066,021.62
  5. Step 5: Solve for x
    x = 42,945,066,021.62/296,350
  6. Step 6: Final answer
    x = 144,913.33

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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.