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Finding the Fourth Proportional to 552,079.84, 828,294.72 and 197,086

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Solution

The fourth proportional to 552,079.84, 828,294.72 and 197,086 is: 295,691.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,079.84 : 828,294.72 = 197,086 : x
  2. Step 2: Convert to fraction form
    552,079.84/828,294.72 = 197,086/x
  3. Step 3: Cross multiply
    552,079.84x = 828,294.72 × 197,086
  4. Step 4: Simplify right side
    552,079.84x = 163,245,293,185.92
  5. Step 5: Solve for x
    x = 163,245,293,185.92/552,079.84
  6. Step 6: Final answer
    x = 295,691.46

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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.