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Finding the Fourth Proportional to 502,084.44, 692,888.58 and 275,734.80

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Solution

The fourth proportional to 502,084.44, 692,888.58 and 275,734.80 is: 380,520.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,084.44 : 692,888.58 = 275,734.80 : x
  2. Step 2: Convert to fraction form
    502,084.44/692,888.58 = 275,734.80/x
  3. Step 3: Cross multiply
    502,084.44x = 692,888.58 × 275,734.80
  4. Step 4: Simplify right side
    502,084.44x = 191,053,494,028.58
  5. Step 5: Solve for x
    x = 191,053,494,028.58/502,084.44
  6. Step 6: Final answer
    x = 380,520.64

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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.