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Finding the Fourth Proportional to 561,695.70, 842,543.55 and 206,721.30

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Solution

The fourth proportional to 561,695.70, 842,543.55 and 206,721.30 is: 310,081.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,695.70 : 842,543.55 = 206,721.30 : x
  2. Step 2: Convert to fraction form
    561,695.70/842,543.55 = 206,721.30/x
  3. Step 3: Cross multiply
    561,695.70x = 842,543.55 × 206,721.30
  4. Step 4: Simplify right side
    561,695.70x = 174,171,697,962.62
  5. Step 5: Solve for x
    x = 174,171,697,962.62/561,695.70
  6. Step 6: Final answer
    x = 310,081.95

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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.