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Finding the Fourth Proportional to 510,797.43, 704,900.45 and 296,062.05

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Solution

The fourth proportional to 510,797.43, 704,900.45 and 296,062.05 is: 408,565.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,797.43 : 704,900.45 = 296,062.05 : x
  2. Step 2: Convert to fraction form
    510,797.43/704,900.45 = 296,062.05/x
  3. Step 3: Cross multiply
    510,797.43x = 704,900.45 × 296,062.05
  4. Step 4: Simplify right side
    510,797.43x = 208,694,270,026.04
  5. Step 5: Solve for x
    x = 208,694,270,026.04/510,797.43
  6. Step 6: Final answer
    x = 408,565.62

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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.