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Finding the Fourth Proportional to 667,412.10, 1,001,020.95 and 194,048.10

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Solution

The fourth proportional to 667,412.10, 1,001,020.95 and 194,048.10 is: 291,043.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,412.10 : 1,001,020.95 = 194,048.10 : x
  2. Step 2: Convert to fraction form
    667,412.10/1,001,020.95 = 194,048.10/x
  3. Step 3: Cross multiply
    667,412.10x = 1,001,020.95 × 194,048.10
  4. Step 4: Simplify right side
    667,412.10x = 194,246,213,407.70
  5. Step 5: Solve for x
    x = 194,246,213,407.70/667,412.10
  6. Step 6: Final answer
    x = 291,043.89

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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.