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Finding the Fourth Proportional to 553,917.74, 764,406.88 and 299,268.86

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Solution

The fourth proportional to 553,917.74, 764,406.88 and 299,268.86 is: 412,991.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,917.74 : 764,406.88 = 299,268.86 : x
  2. Step 2: Convert to fraction form
    553,917.74/764,406.88 = 299,268.86/x
  3. Step 3: Cross multiply
    553,917.74x = 764,406.88 × 299,268.86
  4. Step 4: Simplify right side
    553,917.74x = 228,763,175,553.76
  5. Step 5: Solve for x
    x = 228,763,175,553.76/553,917.74
  6. Step 6: Final answer
    x = 412,991.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.