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Finding the Fourth Proportional to 510,661.62, 704,837.16 and 295,767

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Solution

The fourth proportional to 510,661.62, 704,837.16 and 295,767 is: 408,230.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,661.62 : 704,837.16 = 295,767 : x
  2. Step 2: Convert to fraction form
    510,661.62/704,837.16 = 295,767/x
  3. Step 3: Cross multiply
    510,661.62x = 704,837.16 × 295,767
  4. Step 4: Simplify right side
    510,661.62x = 208,467,572,301.72
  5. Step 5: Solve for x
    x = 208,467,572,301.72/510,661.62
  6. Step 6: Final answer
    x = 408,230.35

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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.