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Finding the Fourth Proportional to 516,937.16, 713,405.94 and 290,597.24

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Solution

The fourth proportional to 516,937.16, 713,405.94 and 290,597.24 is: 401,042.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,937.16 : 713,405.94 = 290,597.24 : x
  2. Step 2: Convert to fraction form
    516,937.16/713,405.94 = 290,597.24/x
  3. Step 3: Cross multiply
    516,937.16x = 713,405.94 × 290,597.24
  4. Step 4: Simplify right side
    516,937.16x = 207,313,797,163.61
  5. Step 5: Solve for x
    x = 207,313,797,163.61/516,937.16
  6. Step 6: Final answer
    x = 401,042.55

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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.