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Finding the Fourth Proportional to 295,405.22, 407,657.12 and 161,269.22

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Solution

The fourth proportional to 295,405.22, 407,657.12 and 161,269.22 is: 222,550.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,405.22 : 407,657.12 = 161,269.22 : x
  2. Step 2: Convert to fraction form
    295,405.22/407,657.12 = 161,269.22/x
  3. Step 3: Cross multiply
    295,405.22x = 407,657.12 × 161,269.22
  4. Step 4: Simplify right side
    295,405.22x = 65,742,545,769.85
  5. Step 5: Solve for x
    x = 65,742,545,769.85/295,405.22
  6. Step 6: Final answer
    x = 222,550.39

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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.