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Finding the Fourth Proportional to 476,280.28, 657,299.64 and 314,855.38

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Solution

The fourth proportional to 476,280.28, 657,299.64 and 314,855.38 is: 434,522.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,280.28 : 657,299.64 = 314,855.38 : x
  2. Step 2: Convert to fraction form
    476,280.28/657,299.64 = 314,855.38/x
  3. Step 3: Cross multiply
    476,280.28x = 657,299.64 × 314,855.38
  4. Step 4: Simplify right side
    476,280.28x = 206,954,327,926.06
  5. Step 5: Solve for x
    x = 206,954,327,926.06/476,280.28
  6. Step 6: Final answer
    x = 434,522.14

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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.