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Finding the Fourth Proportional to 414,425.60, 621,638.40 and 334,246.40

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Solution

The fourth proportional to 414,425.60, 621,638.40 and 334,246.40 is: 501,369.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,425.60 : 621,638.40 = 334,246.40 : x
  2. Step 2: Convert to fraction form
    414,425.60/621,638.40 = 334,246.40/x
  3. Step 3: Cross multiply
    414,425.60x = 621,638.40 × 334,246.40
  4. Step 4: Simplify right side
    414,425.60x = 207,780,397,301.76
  5. Step 5: Solve for x
    x = 207,780,397,301.76/414,425.60
  6. Step 6: Final answer
    x = 501,369.60

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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.