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Finding the Fourth Proportional to 510,674.87, 704,855.46 and 295,780.25

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Solution

The fourth proportional to 510,674.87, 704,855.46 and 295,780.25 is: 408,248.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,674.87 : 704,855.46 = 295,780.25 : x
  2. Step 2: Convert to fraction form
    510,674.87/704,855.46 = 295,780.25/x
  3. Step 3: Cross multiply
    510,674.87x = 704,855.46 × 295,780.25
  4. Step 4: Simplify right side
    510,674.87x = 208,482,324,172.67
  5. Step 5: Solve for x
    x = 208,482,324,172.67/510,674.87
  6. Step 6: Final answer
    x = 408,248.65

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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.