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Finding the Fourth Proportional to 502,119.64, 692,930.56 and 275,765.14

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Solution

The fourth proportional to 502,119.64, 692,930.56 and 275,765.14 is: 380,558.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,119.64 : 692,930.56 = 275,765.14 : x
  2. Step 2: Convert to fraction form
    502,119.64/692,930.56 = 275,765.14/x
  3. Step 3: Cross multiply
    502,119.64x = 692,930.56 × 275,765.14
  4. Step 4: Simplify right side
    502,119.64x = 191,086,092,888.68
  5. Step 5: Solve for x
    x = 191,086,092,888.68/502,119.64
  6. Step 6: Final answer
    x = 380,558.89

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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.