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Finding the Fourth Proportional to 1,024,666, 1,414,021.56 and 565,769.14

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Solution

The fourth proportional to 1,024,666, 1,414,021.56 and 565,769.14 is: 780,751.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,666 : 1,414,021.56 = 565,769.14 : x
  2. Step 2: Convert to fraction form
    1,024,666/1,414,021.56 = 565,769.14/x
  3. Step 3: Cross multiply
    1,024,666x = 1,414,021.56 × 565,769.14
  4. Step 4: Simplify right side
    1,024,666x = 800,009,761,942.66
  5. Step 5: Solve for x
    x = 800,009,761,942.66/1,024,666
  6. Step 6: Final answer
    x = 780,751.74

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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.