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Finding the Fourth Proportional to 502,100.27, 692,914.34 and 275,745.77

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Solution

The fourth proportional to 502,100.27, 692,914.34 and 275,745.77 is: 380,537.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,100.27 : 692,914.34 = 275,745.77 : x
  2. Step 2: Convert to fraction form
    502,100.27/692,914.34 = 275,745.77/x
  3. Step 3: Cross multiply
    502,100.27x = 692,914.34 × 275,745.77
  4. Step 4: Simplify right side
    502,100.27x = 191,068,196,848.61
  5. Step 5: Solve for x
    x = 191,068,196,848.61/502,100.27
  6. Step 6: Final answer
    x = 380,537.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.