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Finding the Fourth Proportional to 510,097.38, 703,939.77 and 280,657.68

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Solution

The fourth proportional to 510,097.38, 703,939.77 and 280,657.68 is: 387,310.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,097.38 : 703,939.77 = 280,657.68 : x
  2. Step 2: Convert to fraction form
    510,097.38/703,939.77 = 280,657.68/x
  3. Step 3: Cross multiply
    510,097.38x = 703,939.77 × 280,657.68
  4. Step 4: Simplify right side
    510,097.38x = 197,566,102,707.93
  5. Step 5: Solve for x
    x = 197,566,102,707.93/510,097.38
  6. Step 6: Final answer
    x = 387,310.56

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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.