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Finding the Fourth Proportional to 551,661.80, 827,492.70 and 197,076.20

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Solution

The fourth proportional to 551,661.80, 827,492.70 and 197,076.20 is: 295,614.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,661.80 : 827,492.70 = 197,076.20 : x
  2. Step 2: Convert to fraction form
    551,661.80/827,492.70 = 197,076.20/x
  3. Step 3: Cross multiply
    551,661.80x = 827,492.70 × 197,076.20
  4. Step 4: Simplify right side
    551,661.80x = 163,079,116,843.74
  5. Step 5: Solve for x
    x = 163,079,116,843.74/551,661.80
  6. Step 6: Final answer
    x = 295,614.30

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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.