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Finding the Fourth Proportional to 425,410.70, 638,116.05 and 414,913.10

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Solution

The fourth proportional to 425,410.70, 638,116.05 and 414,913.10 is: 622,369.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,410.70 : 638,116.05 = 414,913.10 : x
  2. Step 2: Convert to fraction form
    425,410.70/638,116.05 = 414,913.10/x
  3. Step 3: Cross multiply
    425,410.70x = 638,116.05 × 414,913.10
  4. Step 4: Simplify right side
    425,410.70x = 264,762,708,465.26
  5. Step 5: Solve for x
    x = 264,762,708,465.26/425,410.70
  6. Step 6: Final answer
    x = 622,369.65

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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.