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Finding the Fourth Proportional to 686,594.82, 947,454.57 and 396,218.46

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Solution

The fourth proportional to 686,594.82, 947,454.57 and 396,218.46 is: 546,754.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,594.82 : 947,454.57 = 396,218.46 : x
  2. Step 2: Convert to fraction form
    686,594.82/947,454.57 = 396,218.46/x
  3. Step 3: Cross multiply
    686,594.82x = 947,454.57 × 396,218.46
  4. Step 4: Simplify right side
    686,594.82x = 375,398,985,908.09
  5. Step 5: Solve for x
    x = 375,398,985,908.09/686,594.82
  6. Step 6: Final answer
    x = 546,754.76

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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.