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Finding the Fourth Proportional to 691,714, 954,566.94 and 389,908

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Solution

The fourth proportional to 691,714, 954,566.94 and 389,908 is: 538,073.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,714 : 954,566.94 = 389,908 : x
  2. Step 2: Convert to fraction form
    691,714/954,566.94 = 389,908/x
  3. Step 3: Cross multiply
    691,714x = 954,566.94 × 389,908
  4. Step 4: Simplify right side
    691,714x = 372,193,286,441.52
  5. Step 5: Solve for x
    x = 372,193,286,441.52/691,714
  6. Step 6: Final answer
    x = 538,073.95

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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.