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Finding the Fourth Proportional to 551,403.10, 827,104.65 and 196,428.70

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Solution

The fourth proportional to 551,403.10, 827,104.65 and 196,428.70 is: 294,643.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,403.10 : 827,104.65 = 196,428.70 : x
  2. Step 2: Convert to fraction form
    551,403.10/827,104.65 = 196,428.70/x
  3. Step 3: Cross multiply
    551,403.10x = 827,104.65 × 196,428.70
  4. Step 4: Simplify right side
    551,403.10x = 162,467,091,163.46
  5. Step 5: Solve for x
    x = 162,467,091,163.46/551,403.10
  6. Step 6: Final answer
    x = 294,643.05

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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.