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Finding the Fourth Proportional to 476,719.38, 657,333.63 and 304,410.78

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Solution

The fourth proportional to 476,719.38, 657,333.63 and 304,410.78 is: 419,742.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,719.38 : 657,333.63 = 304,410.78 : x
  2. Step 2: Convert to fraction form
    476,719.38/657,333.63 = 304,410.78/x
  3. Step 3: Cross multiply
    476,719.38x = 657,333.63 × 304,410.78
  4. Step 4: Simplify right side
    476,719.38x = 200,099,443,028.53
  5. Step 5: Solve for x
    x = 200,099,443,028.53/476,719.38
  6. Step 6: Final answer
    x = 419,742.62

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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.