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Finding the Fourth Proportional to 617,268.96, 851,824.89 and 341,627.36

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Solution

The fourth proportional to 617,268.96, 851,824.89 and 341,627.36 is: 471,442.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,268.96 : 851,824.89 = 341,627.36 : x
  2. Step 2: Convert to fraction form
    617,268.96/851,824.89 = 341,627.36/x
  3. Step 3: Cross multiply
    617,268.96x = 851,824.89 × 341,627.36
  4. Step 4: Simplify right side
    617,268.96x = 291,006,684,093.87
  5. Step 5: Solve for x
    x = 291,006,684,093.87/617,268.96
  6. Step 6: Final answer
    x = 471,442.28

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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.