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Finding the Fourth Proportional to 295,421.22, 407,679.21 and 161,285.22

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Solution

The fourth proportional to 295,421.22, 407,679.21 and 161,285.22 is: 222,572.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,421.22 : 407,679.21 = 161,285.22 : x
  2. Step 2: Convert to fraction form
    295,421.22/407,679.21 = 161,285.22/x
  3. Step 3: Cross multiply
    295,421.22x = 407,679.21 × 161,285.22
  4. Step 4: Simplify right side
    295,421.22x = 65,752,631,074.28
  5. Step 5: Solve for x
    x = 65,752,631,074.28/295,421.22
  6. Step 6: Final answer
    x = 222,572.47

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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.