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Finding the Fourth Proportional to 295,587.75, 407,911.14 and 161,451.75

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Solution

The fourth proportional to 295,587.75, 407,911.14 and 161,451.75 is: 222,803.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,587.75 : 407,911.14 = 161,451.75 : x
  2. Step 2: Convert to fraction form
    295,587.75/407,911.14 = 161,451.75/x
  3. Step 3: Cross multiply
    295,587.75x = 407,911.14 × 161,451.75
  4. Step 4: Simplify right side
    295,587.75x = 65,857,967,397.50
  5. Step 5: Solve for x
    x = 65,857,967,397.50/295,587.75
  6. Step 6: Final answer
    x = 222,803.44

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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.