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Finding the Fourth Proportional to 310,569.60, 466,204.80 and 205,593.60

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Solution

The fourth proportional to 310,569.60, 466,204.80 and 205,593.60 is: 308,622.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,569.60 : 466,204.80 = 205,593.60 : x
  2. Step 2: Convert to fraction form
    310,569.60/466,204.80 = 205,593.60/x
  3. Step 3: Cross multiply
    310,569.60x = 466,204.80 × 205,593.60
  4. Step 4: Simplify right side
    310,569.60x = 95,848,723,169.28
  5. Step 5: Solve for x
    x = 95,848,723,169.28/310,569.60
  6. Step 6: Final answer
    x = 308,622.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.