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Finding the Fourth Proportional to 320,526.48, 442,287.72 and 177,267

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Solution

The fourth proportional to 320,526.48, 442,287.72 and 177,267 is: 244,606.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,526.48 : 442,287.72 = 177,267 : x
  2. Step 2: Convert to fraction form
    320,526.48/442,287.72 = 177,267/x
  3. Step 3: Cross multiply
    320,526.48x = 442,287.72 × 177,267
  4. Step 4: Simplify right side
    320,526.48x = 78,403,017,261.24
  5. Step 5: Solve for x
    x = 78,403,017,261.24/320,526.48
  6. Step 6: Final answer
    x = 244,606.99

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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.