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Finding the Fourth Proportional to 469,653.28, 704,502.96 and 189,132.64

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Solution

The fourth proportional to 469,653.28, 704,502.96 and 189,132.64 is: 283,708.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,653.28 : 704,502.96 = 189,132.64 : x
  2. Step 2: Convert to fraction form
    469,653.28/704,502.96 = 189,132.64/x
  3. Step 3: Cross multiply
    469,653.28x = 704,502.96 × 189,132.64
  4. Step 4: Simplify right side
    469,653.28x = 133,244,504,712.61
  5. Step 5: Solve for x
    x = 133,244,504,712.61/469,653.28
  6. Step 6: Final answer
    x = 283,708.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.