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Finding the Fourth Proportional to 537,867.32, 806,707.47 and 200,910.87

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Solution

The fourth proportional to 537,867.32, 806,707.47 and 200,910.87 is: 301,331.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,867.32 : 806,707.47 = 200,910.87 : x
  2. Step 2: Convert to fraction form
    537,867.32/806,707.47 = 200,910.87/x
  3. Step 3: Cross multiply
    537,867.32x = 806,707.47 × 200,910.87
  4. Step 4: Simplify right side
    537,867.32x = 162,076,299,633.20
  5. Step 5: Solve for x
    x = 162,076,299,633.20/537,867.32
  6. Step 6: Final answer
    x = 301,331.38

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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.