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Finding the Fourth Proportional to 440,753.85, 661,130.78 and 414,181.80

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Solution

The fourth proportional to 440,753.85, 661,130.78 and 414,181.80 is: 621,272.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,753.85 : 661,130.78 = 414,181.80 : x
  2. Step 2: Convert to fraction form
    440,753.85/661,130.78 = 414,181.80/x
  3. Step 3: Cross multiply
    440,753.85x = 661,130.78 × 414,181.80
  4. Step 4: Simplify right side
    440,753.85x = 273,828,334,424.90
  5. Step 5: Solve for x
    x = 273,828,334,424.90/440,753.85
  6. Step 6: Final answer
    x = 621,272.70

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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.