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Finding the Fourth Proportional to 264,477.60, 396,716.40 and 214,711.20

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Solution

The fourth proportional to 264,477.60, 396,716.40 and 214,711.20 is: 322,066.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,477.60 : 396,716.40 = 214,711.20 : x
  2. Step 2: Convert to fraction form
    264,477.60/396,716.40 = 214,711.20/x
  3. Step 3: Cross multiply
    264,477.60x = 396,716.40 × 214,711.20
  4. Step 4: Simplify right side
    264,477.60x = 85,179,454,303.68
  5. Step 5: Solve for x
    x = 85,179,454,303.68/264,477.60
  6. Step 6: Final answer
    x = 322,066.80

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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.