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Finding the Fourth Proportional to 551,165.46, 826,426.42 and 213,811.92

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Solution

The fourth proportional to 551,165.46, 826,426.42 and 213,811.92 is: 320,593.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,165.46 : 826,426.42 = 213,811.92 : x
  2. Step 2: Convert to fraction form
    551,165.46/826,426.42 = 213,811.92/x
  3. Step 3: Cross multiply
    551,165.46x = 826,426.42 × 213,811.92
  4. Step 4: Simplify right side
    551,165.46x = 176,699,819,598.93
  5. Step 5: Solve for x
    x = 176,699,819,598.93/551,165.46
  6. Step 6: Final answer
    x = 320,593.06

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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.