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Finding the Fourth Proportional to 466,564.33, 643,860.09 and 262,618.38

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Solution

The fourth proportional to 466,564.33, 643,860.09 and 262,618.38 is: 362,414.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,564.33 : 643,860.09 = 262,618.38 : x
  2. Step 2: Convert to fraction form
    466,564.33/643,860.09 = 262,618.38/x
  3. Step 3: Cross multiply
    466,564.33x = 643,860.09 × 262,618.38
  4. Step 4: Simplify right side
    466,564.33x = 169,089,491,971.60
  5. Step 5: Solve for x
    x = 169,089,491,971.60/466,564.33
  6. Step 6: Final answer
    x = 362,414.10

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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.