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Finding the Fourth Proportional to 510,798.35, 704,901.72 and 296,062.97

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Solution

The fourth proportional to 510,798.35, 704,901.72 and 296,062.97 is: 408,566.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,798.35 : 704,901.72 = 296,062.97 : x
  2. Step 2: Convert to fraction form
    510,798.35/704,901.72 = 296,062.97/x
  3. Step 3: Cross multiply
    510,798.35x = 704,901.72 × 296,062.97
  4. Step 4: Simplify right side
    510,798.35x = 208,695,296,781.31
  5. Step 5: Solve for x
    x = 208,695,296,781.31/510,798.35
  6. Step 6: Final answer
    x = 408,566.90

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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.