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Finding the Fourth Proportional to 552,081.84, 828,297.74 and 197,088

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Solution

The fourth proportional to 552,081.84, 828,297.74 and 197,088 is: 295,694.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,081.84 : 828,297.74 = 197,088 : x
  2. Step 2: Convert to fraction form
    552,081.84/828,297.74 = 197,088/x
  3. Step 3: Cross multiply
    552,081.84x = 828,297.74 × 197,088
  4. Step 4: Simplify right side
    552,081.84x = 163,247,544,981.12
  5. Step 5: Solve for x
    x = 163,247,544,981.12/552,081.84
  6. Step 6: Final answer
    x = 295,694.47

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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.