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Finding the Fourth Proportional to 516,776.64, 713,087.64 and 299,022.72

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Solution

The fourth proportional to 516,776.64, 713,087.64 and 299,022.72 is: 412,614.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,776.64 : 713,087.64 = 299,022.72 : x
  2. Step 2: Convert to fraction form
    516,776.64/713,087.64 = 299,022.72/x
  3. Step 3: Cross multiply
    516,776.64x = 713,087.64 × 299,022.72
  4. Step 4: Simplify right side
    516,776.64x = 213,229,405,711.18
  5. Step 5: Solve for x
    x = 213,229,405,711.18/516,776.64
  6. Step 6: Final answer
    x = 412,614.25

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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.