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Finding the Fourth Proportional to 561,873.35, 842,416.32 and 206,841.17

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Solution

The fourth proportional to 561,873.35, 842,416.32 and 206,841.17 is: 310,116.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,873.35 : 842,416.32 = 206,841.17 : x
  2. Step 2: Convert to fraction form
    561,873.35/842,416.32 = 206,841.17/x
  3. Step 3: Cross multiply
    561,873.35x = 842,416.32 × 206,841.17
  4. Step 4: Simplify right side
    561,873.35x = 174,246,377,255.89
  5. Step 5: Solve for x
    x = 174,246,377,255.89/561,873.35
  6. Step 6: Final answer
    x = 310,116.82

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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.