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Finding the Fourth Proportional to 1,985,698.19, 2,978,166.39 and 771,273.50

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Solution

The fourth proportional to 1,985,698.19, 2,978,166.39 and 771,273.50 is: 1,156,762.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985,698.19 : 2,978,166.39 = 771,273.50 : x
  2. Step 2: Convert to fraction form
    1,985,698.19/2,978,166.39 = 771,273.50/x
  3. Step 3: Cross multiply
    1,985,698.19x = 2,978,166.39 × 771,273.50
  4. Step 4: Simplify right side
    1,985,698.19x = 2,296,980,797,414.56
  5. Step 5: Solve for x
    x = 2,296,980,797,414.56/1,985,698.19
  6. Step 6: Final answer
    x = 1,156,762.29

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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.