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Finding the Fourth Proportional to 419,262.88, 578,453.04 and 255,954.40

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Solution

The fourth proportional to 419,262.88, 578,453.04 and 255,954.40 is: 353,137.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,262.88 : 578,453.04 = 255,954.40 : x
  2. Step 2: Convert to fraction form
    419,262.88/578,453.04 = 255,954.40/x
  3. Step 3: Cross multiply
    419,262.88x = 578,453.04 × 255,954.40
  4. Step 4: Simplify right side
    419,262.88x = 148,057,600,781.38
  5. Step 5: Solve for x
    x = 148,057,600,781.38/419,262.88
  6. Step 6: Final answer
    x = 353,137.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.