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Finding the Fourth Proportional to 301,010.56, 415,402.50 and 170,177.80

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Solution

The fourth proportional to 301,010.56, 415,402.50 and 170,177.80 is: 234,849.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,010.56 : 415,402.50 = 170,177.80 : x
  2. Step 2: Convert to fraction form
    301,010.56/415,402.50 = 170,177.80/x
  3. Step 3: Cross multiply
    301,010.56x = 415,402.50 × 170,177.80
  4. Step 4: Simplify right side
    301,010.56x = 70,692,283,564.50
  5. Step 5: Solve for x
    x = 70,692,283,564.50/301,010.56
  6. Step 6: Final answer
    x = 234,849.85

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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.