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Finding the Fourth Proportional to 414,922.40, 579,647.20 and 414,922.40

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Solution

The fourth proportional to 414,922.40, 579,647.20 and 414,922.40 is: 579,647.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,922.40 : 579,647.20 = 414,922.40 : x
  2. Step 2: Convert to fraction form
    414,922.40/579,647.20 = 414,922.40/x
  3. Step 3: Cross multiply
    414,922.40x = 579,647.20 × 414,922.40
  4. Step 4: Simplify right side
    414,922.40x = 240,508,607,377.28
  5. Step 5: Solve for x
    x = 240,508,607,377.28/414,922.40
  6. Step 6: Final answer
    x = 579,647.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.