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Finding the Fourth Proportional to 510,580.91, 704,696.13 and 295,720.91

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Solution

The fourth proportional to 510,580.91, 704,696.13 and 295,720.91 is: 408,149.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,580.91 : 704,696.13 = 295,720.91 : x
  2. Step 2: Convert to fraction form
    510,580.91/704,696.13 = 295,720.91/x
  3. Step 3: Cross multiply
    510,580.91x = 704,696.13 × 295,720.91
  4. Step 4: Simplify right side
    510,580.91x = 208,393,377,313.60
  5. Step 5: Solve for x
    x = 208,393,377,313.60/510,580.91
  6. Step 6: Final answer
    x = 408,149.57

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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.