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Finding the Fourth Proportional to 293,861.40, 440,792.10 and 242,021.40

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Solution

The fourth proportional to 293,861.40, 440,792.10 and 242,021.40 is: 363,032.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,861.40 : 440,792.10 = 242,021.40 : x
  2. Step 2: Convert to fraction form
    293,861.40/440,792.10 = 242,021.40/x
  3. Step 3: Cross multiply
    293,861.40x = 440,792.10 × 242,021.40
  4. Step 4: Simplify right side
    293,861.40x = 106,681,121,150.94
  5. Step 5: Solve for x
    x = 106,681,121,150.94/293,861.40
  6. Step 6: Final answer
    x = 363,032.10

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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.