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Finding the Fourth Proportional to 1,407,824.34, 1,942,652.19 and 863,983.05

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Solution

The fourth proportional to 1,407,824.34, 1,942,652.19 and 863,983.05 is: 1,192,207.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,824.34 : 1,942,652.19 = 863,983.05 : x
  2. Step 2: Convert to fraction form
    1,407,824.34/1,942,652.19 = 863,983.05/x
  3. Step 3: Cross multiply
    1,407,824.34x = 1,942,652.19 × 863,983.05
  4. Step 4: Simplify right side
    1,407,824.34x = 1,678,418,564,205.38
  5. Step 5: Solve for x
    x = 1,678,418,564,205.38/1,407,824.34
  6. Step 6: Final answer
    x = 1,192,207.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.