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Finding the Fourth Proportional to 1,198,869.42, 1,796,754.06 and 896,981.42

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Solution

The fourth proportional to 1,198,869.42, 1,796,754.06 and 896,981.42 is: 1,344,312.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198,869.42 : 1,796,754.06 = 896,981.42 : x
  2. Step 2: Convert to fraction form
    1,198,869.42/1,796,754.06 = 896,981.42/x
  3. Step 3: Cross multiply
    1,198,869.42x = 1,796,754.06 × 896,981.42
  4. Step 4: Simplify right side
    1,198,869.42x = 1,611,655,008,129.57
  5. Step 5: Solve for x
    x = 1,611,655,008,129.57/1,198,869.42
  6. Step 6: Final answer
    x = 1,344,312.38

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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.