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Finding the Fourth Proportional to 295,342.14, 407,572.14 and 161,206.14

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Solution

The fourth proportional to 295,342.14, 407,572.14 and 161,206.14 is: 222,464.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,342.14 : 407,572.14 = 161,206.14 : x
  2. Step 2: Convert to fraction form
    295,342.14/407,572.14 = 161,206.14/x
  3. Step 3: Cross multiply
    295,342.14x = 407,572.14 × 161,206.14
  4. Step 4: Simplify right side
    295,342.14x = 65,703,131,460.94
  5. Step 5: Solve for x
    x = 65,703,131,460.94/295,342.14
  6. Step 6: Final answer
    x = 222,464.47

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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.