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Finding the Fourth Proportional to 295,307.10, 407,523.69 and 161,171.10

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Solution

The fourth proportional to 295,307.10, 407,523.69 and 161,171.10 is: 222,416.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,307.10 : 407,523.69 = 161,171.10 : x
  2. Step 2: Convert to fraction form
    295,307.10/407,523.69 = 161,171.10/x
  3. Step 3: Cross multiply
    295,307.10x = 407,523.69 × 161,171.10
  4. Step 4: Simplify right side
    295,307.10x = 65,681,041,393.36
  5. Step 5: Solve for x
    x = 65,681,041,393.36/295,307.10
  6. Step 6: Final answer
    x = 222,416.06

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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.