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Finding the Fourth Proportional to 297,475.99, 410,514.53 and 161,507.22

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Solution

The fourth proportional to 297,475.99, 410,514.53 and 161,507.22 is: 222,878.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,475.99 : 410,514.53 = 161,507.22 : x
  2. Step 2: Convert to fraction form
    297,475.99/410,514.53 = 161,507.22/x
  3. Step 3: Cross multiply
    297,475.99x = 410,514.53 × 161,507.22
  4. Step 4: Simplify right side
    297,475.99x = 66,301,059,071.42
  5. Step 5: Solve for x
    x = 66,301,059,071.42/297,475.99
  6. Step 6: Final answer
    x = 222,878.69

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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.