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Finding the Fourth Proportional to 510,594.58, 704,715 and 295,734.58

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Solution

The fourth proportional to 510,594.58, 704,715 and 295,734.58 is: 408,168.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,594.58 : 704,715 = 295,734.58 : x
  2. Step 2: Convert to fraction form
    510,594.58/704,715 = 295,734.58/x
  3. Step 3: Cross multiply
    510,594.58x = 704,715 × 295,734.58
  4. Step 4: Simplify right side
    510,594.58x = 208,408,594,544.70
  5. Step 5: Solve for x
    x = 208,408,594,544.70/510,594.58
  6. Step 6: Final answer
    x = 408,168.44

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1.5x scale

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.