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Finding the Fourth Proportional to 538,160.71, 806,845.78 and 257,874.79

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Solution

The fourth proportional to 538,160.71, 806,845.78 and 257,874.79 is: 386,622.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,160.71 : 806,845.78 = 257,874.79 : x
  2. Step 2: Convert to fraction form
    538,160.71/806,845.78 = 257,874.79/x
  3. Step 3: Cross multiply
    538,160.71x = 806,845.78 × 257,874.79
  4. Step 4: Simplify right side
    538,160.71x = 208,065,186,079.89
  5. Step 5: Solve for x
    x = 208,065,186,079.89/538,160.71
  6. Step 6: Final answer
    x = 386,622.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.