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Finding the Fourth Proportional to 510,797.72, 704,900.86 and 296,062.35

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Solution

The fourth proportional to 510,797.72, 704,900.86 and 296,062.35 is: 408,566.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,797.72 : 704,900.86 = 296,062.35 : x
  2. Step 2: Convert to fraction form
    510,797.72/704,900.86 = 296,062.35/x
  3. Step 3: Cross multiply
    510,797.72x = 704,900.86 × 296,062.35
  4. Step 4: Simplify right side
    510,797.72x = 208,694,605,128.62
  5. Step 5: Solve for x
    x = 208,694,605,128.62/510,797.72
  6. Step 6: Final answer
    x = 408,566.05

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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.