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Finding the Fourth Proportional to 1,664,414.62, 2,296,996.65 and 975,835.64

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Solution

The fourth proportional to 1,664,414.62, 2,296,996.65 and 975,835.64 is: 1,346,714.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664,414.62 : 2,296,996.65 = 975,835.64 : x
  2. Step 2: Convert to fraction form
    1,664,414.62/2,296,996.65 = 975,835.64/x
  3. Step 3: Cross multiply
    1,664,414.62x = 2,296,996.65 × 975,835.64
  4. Step 4: Simplify right side
    1,664,414.62x = 2,241,491,201,773.10
  5. Step 5: Solve for x
    x = 2,241,491,201,773.10/1,664,414.62
  6. Step 6: Final answer
    x = 1,346,714.44

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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.