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Finding the Fourth Proportional to 1,435,402.78, 1,981,142.70 and 823,968.88

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Solution

The fourth proportional to 1,435,402.78, 1,981,142.70 and 823,968.88 is: 1,137,241.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435,402.78 : 1,981,142.70 = 823,968.88 : x
  2. Step 2: Convert to fraction form
    1,435,402.78/1,981,142.70 = 823,968.88/x
  3. Step 3: Cross multiply
    1,435,402.78x = 1,981,142.70 × 823,968.88
  4. Step 4: Simplify right side
    1,435,402.78x = 1,632,399,931,639.18
  5. Step 5: Solve for x
    x = 1,632,399,931,639.18/1,435,402.78
  6. Step 6: Final answer
    x = 1,137,241.72

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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.