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Finding the Fourth Proportional to 562,461.69, 843,758.07 and 197,611.17

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Solution

The fourth proportional to 562,461.69, 843,758.07 and 197,611.17 is: 296,439.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,461.69 : 843,758.07 = 197,611.17 : x
  2. Step 2: Convert to fraction form
    562,461.69/843,758.07 = 197,611.17/x
  3. Step 3: Cross multiply
    562,461.69x = 843,758.07 × 197,611.17
  4. Step 4: Simplify right side
    562,461.69x = 166,736,019,409.64
  5. Step 5: Solve for x
    x = 166,736,019,409.64/562,461.69
  6. Step 6: Final answer
    x = 296,439.78

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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.