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Finding the Fourth Proportional to 3,852,833.80, 5,780,978.70 and 1,330,299.40

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Solution

The fourth proportional to 3,852,833.80, 5,780,978.70 and 1,330,299.40 is: 1,996,045.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852,833.80 : 5,780,978.70 = 1,330,299.40 : x
  2. Step 2: Convert to fraction form
    3,852,833.80/5,780,978.70 = 1,330,299.40/x
  3. Step 3: Cross multiply
    3,852,833.80x = 5,780,978.70 × 1,330,299.40
  4. Step 4: Simplify right side
    3,852,833.80x = 7,690,432,496,022.78
  5. Step 5: Solve for x
    x = 7,690,432,496,022.78/3,852,833.80
  6. Step 6: Final answer
    x = 1,996,045.74

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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.