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Finding the Fourth Proportional to 551,274.60, 827,009.10 and 196,494.60

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Solution

The fourth proportional to 551,274.60, 827,009.10 and 196,494.60 is: 294,776.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,274.60 : 827,009.10 = 196,494.60 : x
  2. Step 2: Convert to fraction form
    551,274.60/827,009.10 = 196,494.60/x
  3. Step 3: Cross multiply
    551,274.60x = 827,009.10 × 196,494.60
  4. Step 4: Simplify right side
    551,274.60x = 162,502,822,300.86
  5. Step 5: Solve for x
    x = 162,502,822,300.86/551,274.60
  6. Step 6: Final answer
    x = 294,776.55

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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.