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Finding the Fourth Proportional to 510,594.98, 704,614.95 and 281,147.29

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Solution

The fourth proportional to 510,594.98, 704,614.95 and 281,147.29 is: 387,979.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,594.98 : 704,614.95 = 281,147.29 : x
  2. Step 2: Convert to fraction form
    510,594.98/704,614.95 = 281,147.29/x
  3. Step 3: Cross multiply
    510,594.98x = 704,614.95 × 281,147.29
  4. Step 4: Simplify right side
    510,594.98x = 198,100,581,924.45
  5. Step 5: Solve for x
    x = 198,100,581,924.45/510,594.98
  6. Step 6: Final answer
    x = 387,979.89

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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.