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Finding the Fourth Proportional to 1,024,662, 1,414,016.04 and 565,765.14

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Solution

The fourth proportional to 1,024,662, 1,414,016.04 and 565,765.14 is: 780,746.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,662 : 1,414,016.04 = 565,765.14 : x
  2. Step 2: Convert to fraction form
    1,024,662/1,414,016.04 = 565,765.14/x
  3. Step 3: Cross multiply
    1,024,662x = 1,414,016.04 × 565,765.14
  4. Step 4: Simplify right side
    1,024,662x = 800,000,982,832.85
  5. Step 5: Solve for x
    x = 800,000,982,832.85/1,024,662
  6. Step 6: Final answer
    x = 780,746.22

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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.