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Finding the Fourth Proportional to 440,021.20, 660,031.80 and 414,216.40

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Solution

The fourth proportional to 440,021.20, 660,031.80 and 414,216.40 is: 621,324.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,021.20 : 660,031.80 = 414,216.40 : x
  2. Step 2: Convert to fraction form
    440,021.20/660,031.80 = 414,216.40/x
  3. Step 3: Cross multiply
    440,021.20x = 660,031.80 × 414,216.40
  4. Step 4: Simplify right side
    440,021.20x = 273,395,996,081.52
  5. Step 5: Solve for x
    x = 273,395,996,081.52/440,021.20
  6. Step 6: Final answer
    x = 621,324.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.