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Finding the Fourth Proportional to 667,412.60, 1,001,021.70 and 194,048.60

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Solution

The fourth proportional to 667,412.60, 1,001,021.70 and 194,048.60 is: 291,044.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,412.60 : 1,001,021.70 = 194,048.60 : x
  2. Step 2: Convert to fraction form
    667,412.60/1,001,021.70 = 194,048.60/x
  3. Step 3: Cross multiply
    667,412.60x = 1,001,021.70 × 194,048.60
  4. Step 4: Simplify right side
    667,412.60x = 194,246,859,454.62
  5. Step 5: Solve for x
    x = 194,246,859,454.62/667,412.60
  6. Step 6: Final answer
    x = 291,044.64

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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.