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Finding the Fourth Proportional to 502,090.44, 692,896.86 and 275,740.80

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Solution

The fourth proportional to 502,090.44, 692,896.86 and 275,740.80 is: 380,528.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,090.44 : 692,896.86 = 275,740.80 : x
  2. Step 2: Convert to fraction form
    502,090.44/692,896.86 = 275,740.80/x
  3. Step 3: Cross multiply
    502,090.44x = 692,896.86 × 275,740.80
  4. Step 4: Simplify right side
    502,090.44x = 191,059,934,493.89
  5. Step 5: Solve for x
    x = 191,059,934,493.89/502,090.44
  6. Step 6: Final answer
    x = 380,528.92

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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.