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Finding the Fourth Proportional to 551,642.80, 827,464.20 and 196,668.40

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Solution

The fourth proportional to 551,642.80, 827,464.20 and 196,668.40 is: 295,002.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,642.80 : 827,464.20 = 196,668.40 : x
  2. Step 2: Convert to fraction form
    551,642.80/827,464.20 = 196,668.40/x
  3. Step 3: Cross multiply
    551,642.80x = 827,464.20 × 196,668.40
  4. Step 4: Simplify right side
    551,642.80x = 162,736,060,271.28
  5. Step 5: Solve for x
    x = 162,736,060,271.28/551,642.80
  6. Step 6: Final answer
    x = 295,002.60

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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.