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Finding the Fourth Proportional to 502,085.94, 692,890.65 and 275,736.30

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Solution

The fourth proportional to 502,085.94, 692,890.65 and 275,736.30 is: 380,522.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,085.94 : 692,890.65 = 275,736.30 : x
  2. Step 2: Convert to fraction form
    502,085.94/692,890.65 = 275,736.30/x
  3. Step 3: Cross multiply
    502,085.94x = 692,890.65 × 275,736.30
  4. Step 4: Simplify right side
    502,085.94x = 191,055,104,135.60
  5. Step 5: Solve for x
    x = 191,055,104,135.60/502,085.94
  6. Step 6: Final answer
    x = 380,522.71

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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.