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Finding the Fourth Proportional to 510,797.64, 704,908.26 and 295,953.24

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Solution

The fourth proportional to 510,797.64, 704,908.26 and 295,953.24 is: 408,419.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,797.64 : 704,908.26 = 295,953.24 : x
  2. Step 2: Convert to fraction form
    510,797.64/704,908.26 = 295,953.24/x
  3. Step 3: Cross multiply
    510,797.64x = 704,908.26 × 295,953.24
  4. Step 4: Simplify right side
    510,797.64x = 208,619,883,449.76
  5. Step 5: Solve for x
    x = 208,619,883,449.76/510,797.64
  6. Step 6: Final answer
    x = 408,419.83

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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.