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Finding the Fourth Proportional to 516,797.29, 713,375.12 and 302,007.16

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Solution

The fourth proportional to 516,797.29, 713,375.12 and 302,007.16 is: 416,883.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,797.29 : 713,375.12 = 302,007.16 : x
  2. Step 2: Convert to fraction form
    516,797.29/713,375.12 = 302,007.16/x
  3. Step 3: Cross multiply
    516,797.29x = 713,375.12 × 302,007.16
  4. Step 4: Simplify right side
    516,797.29x = 215,444,388,928.95
  5. Step 5: Solve for x
    x = 215,444,388,928.95/516,797.29
  6. Step 6: Final answer
    x = 416,883.75

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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.