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Finding the Fourth Proportional to 510,802.92, 704,908.02 and 296,067.54

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Solution

The fourth proportional to 510,802.92, 704,908.02 and 296,067.54 is: 408,573.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,802.92 : 704,908.02 = 296,067.54 : x
  2. Step 2: Convert to fraction form
    510,802.92/704,908.02 = 296,067.54/x
  3. Step 3: Cross multiply
    510,802.92x = 704,908.02 × 296,067.54
  4. Step 4: Simplify right side
    510,802.92x = 208,700,383,407.67
  5. Step 5: Solve for x
    x = 208,700,383,407.67/510,802.92
  6. Step 6: Final answer
    x = 408,573.20

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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.