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Finding the Fourth Proportional to 320,701.77, 442,276.07 and 275,365.53

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Solution

The fourth proportional to 320,701.77, 442,276.07 and 275,365.53 is: 379,753.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,701.77 : 442,276.07 = 275,365.53 : x
  2. Step 2: Convert to fraction form
    320,701.77/442,276.07 = 275,365.53/x
  3. Step 3: Cross multiply
    320,701.77x = 442,276.07 × 275,365.53
  4. Step 4: Simplify right side
    320,701.77x = 121,787,583,045.04
  5. Step 5: Solve for x
    x = 121,787,583,045.04/320,701.77
  6. Step 6: Final answer
    x = 379,753.39

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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.