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Finding the Fourth Proportional to 295,344.14, 407,574.90 and 161,208.14

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Solution

The fourth proportional to 295,344.14, 407,574.90 and 161,208.14 is: 222,467.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,344.14 : 407,574.90 = 161,208.14 : x
  2. Step 2: Convert to fraction form
    295,344.14/407,574.90 = 161,208.14/x
  3. Step 3: Cross multiply
    295,344.14x = 407,574.90 × 161,208.14
  4. Step 4: Simplify right side
    295,344.14x = 65,704,391,539.69
  5. Step 5: Solve for x
    x = 65,704,391,539.69/295,344.14
  6. Step 6: Final answer
    x = 222,467.23

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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.