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Finding the Fourth Proportional to 295,339.13, 407,568 and 161,203.13

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Solution

The fourth proportional to 295,339.13, 407,568 and 161,203.13 is: 222,460.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,339.13 : 407,568 = 161,203.13 : x
  2. Step 2: Convert to fraction form
    295,339.13/407,568 = 161,203.13/x
  3. Step 3: Cross multiply
    295,339.13x = 407,568 × 161,203.13
  4. Step 4: Simplify right side
    295,339.13x = 65,701,237,287.84
  5. Step 5: Solve for x
    x = 65,701,237,287.84/295,339.13
  6. Step 6: Final answer
    x = 222,460.32

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1.5x scale

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.