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Finding the Fourth Proportional to 295,287.64, 407,491.26 and 161,152.60

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Solution

The fourth proportional to 295,287.64, 407,491.26 and 161,152.60 is: 222,387.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,287.64 : 407,491.26 = 161,152.60 : x
  2. Step 2: Convert to fraction form
    295,287.64/407,491.26 = 161,152.60/x
  3. Step 3: Cross multiply
    295,287.64x = 407,491.26 × 161,152.60
  4. Step 4: Simplify right side
    295,287.64x = 65,668,276,026.28
  5. Step 5: Solve for x
    x = 65,668,276,026.28/295,287.64
  6. Step 6: Final answer
    x = 222,387.49

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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.