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Finding the Fourth Proportional to 594,710.40, 820,701.12 and 322,778.26

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Solution

The fourth proportional to 594,710.40, 820,701.12 and 322,778.26 is: 445,434.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,710.40 : 820,701.12 = 322,778.26 : x
  2. Step 2: Convert to fraction form
    594,710.40/820,701.12 = 322,778.26/x
  3. Step 3: Cross multiply
    594,710.40x = 820,701.12 × 322,778.26
  4. Step 4: Simplify right side
    594,710.40x = 264,904,477,770.30
  5. Step 5: Solve for x
    x = 264,904,477,770.30/594,710.40
  6. Step 6: Final answer
    x = 445,434.42

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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.