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Finding the Fourth Proportional to 552,198.30, 828,305.10 and 363,864.30

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Solution

The fourth proportional to 552,198.30, 828,305.10 and 363,864.30 is: 545,801.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,198.30 : 828,305.10 = 363,864.30 : x
  2. Step 2: Convert to fraction form
    552,198.30/828,305.10 = 363,864.30/x
  3. Step 3: Cross multiply
    552,198.30x = 828,305.10 × 363,864.30
  4. Step 4: Simplify right side
    552,198.30x = 301,390,655,397.93
  5. Step 5: Solve for x
    x = 301,390,655,397.93/552,198.30
  6. Step 6: Final answer
    x = 545,801.49

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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.