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Finding the Fourth Proportional to 510,766.25, 704,750.49 and 295,893.50

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Solution

The fourth proportional to 510,766.25, 704,750.49 and 295,893.50 is: 408,271.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,766.25 : 704,750.49 = 295,893.50 : x
  2. Step 2: Convert to fraction form
    510,766.25/704,750.49 = 295,893.50/x
  3. Step 3: Cross multiply
    510,766.25x = 704,750.49 × 295,893.50
  4. Step 4: Simplify right side
    510,766.25x = 208,531,085,589.06
  5. Step 5: Solve for x
    x = 208,531,085,589.06/510,766.25
  6. Step 6: Final answer
    x = 408,271.08

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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.