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Finding the Fourth Proportional to 305,208, 457,824.96 and 83,592

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Solution

The fourth proportional to 305,208, 457,824.96 and 83,592 is: 125,391.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,208 : 457,824.96 = 83,592 : x
  2. Step 2: Convert to fraction form
    305,208/457,824.96 = 83,592/x
  3. Step 3: Cross multiply
    305,208x = 457,824.96 × 83,592
  4. Step 4: Simplify right side
    305,208x = 38,270,504,056.32
  5. Step 5: Solve for x
    x = 38,270,504,056.32/305,208
  6. Step 6: Final answer
    x = 125,391.55

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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.