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Finding the Fourth Proportional to 411,767.86, 617,758.28 and 241,133.68

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Solution

The fourth proportional to 411,767.86, 617,758.28 and 241,133.68 is: 361,762.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,767.86 : 617,758.28 = 241,133.68 : x
  2. Step 2: Convert to fraction form
    411,767.86/617,758.28 = 241,133.68/x
  3. Step 3: Cross multiply
    411,767.86x = 617,758.28 × 241,133.68
  4. Step 4: Simplify right side
    411,767.86x = 148,962,327,406.87
  5. Step 5: Solve for x
    x = 148,962,327,406.87/411,767.86
  6. Step 6: Final answer
    x = 361,762.88

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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.