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Finding the Fourth Proportional to 406,096.64, 560,431.68 and 227,248.64

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Solution

The fourth proportional to 406,096.64, 560,431.68 and 227,248.64 is: 313,613.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,096.64 : 560,431.68 = 227,248.64 : x
  2. Step 2: Convert to fraction form
    406,096.64/560,431.68 = 227,248.64/x
  3. Step 3: Cross multiply
    406,096.64x = 560,431.68 × 227,248.64
  4. Step 4: Simplify right side
    406,096.64x = 127,357,337,092.92
  5. Step 5: Solve for x
    x = 127,357,337,092.92/406,096.64
  6. Step 6: Final answer
    x = 313,613.37

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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.