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Finding the Fourth Proportional to 320,503.26, 442,276.56 and 175,280.16

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Solution

The fourth proportional to 320,503.26, 442,276.56 and 175,280.16 is: 241,876.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,503.26 : 442,276.56 = 175,280.16 : x
  2. Step 2: Convert to fraction form
    320,503.26/442,276.56 = 175,280.16/x
  3. Step 3: Cross multiply
    320,503.26x = 442,276.56 × 175,280.16
  4. Step 4: Simplify right side
    320,503.26x = 77,522,306,201.05
  5. Step 5: Solve for x
    x = 77,522,306,201.05/320,503.26
  6. Step 6: Final answer
    x = 241,876.81

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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.