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Finding the Fourth Proportional to 427,477.70, 641,216.55 and 409,276.10

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Solution

The fourth proportional to 427,477.70, 641,216.55 and 409,276.10 is: 613,914.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,477.70 : 641,216.55 = 409,276.10 : x
  2. Step 2: Convert to fraction form
    427,477.70/641,216.55 = 409,276.10/x
  3. Step 3: Cross multiply
    427,477.70x = 641,216.55 × 409,276.10
  4. Step 4: Simplify right side
    427,477.70x = 262,434,608,839.46
  5. Step 5: Solve for x
    x = 262,434,608,839.46/427,477.70
  6. Step 6: Final answer
    x = 613,914.15

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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.