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Finding the Fourth Proportional to 516,116.68, 712,222.74 and 289,771.72

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Solution

The fourth proportional to 516,116.68, 712,222.74 and 289,771.72 is: 399,874.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,116.68 : 712,222.74 = 289,771.72 : x
  2. Step 2: Convert to fraction form
    516,116.68/712,222.74 = 289,771.72/x
  3. Step 3: Cross multiply
    516,116.68x = 712,222.74 × 289,771.72
  4. Step 4: Simplify right side
    516,116.68x = 206,382,008,392.91
  5. Step 5: Solve for x
    x = 206,382,008,392.91/516,116.68
  6. Step 6: Final answer
    x = 399,874.71

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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.