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Finding the Fourth Proportional to 594,710.46, 820,701.20 and 322,778.32

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Solution

The fourth proportional to 594,710.46, 820,701.20 and 322,778.32 is: 445,434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,710.46 : 820,701.20 = 322,778.32 : x
  2. Step 2: Convert to fraction form
    594,710.46/820,701.20 = 322,778.32/x
  3. Step 3: Cross multiply
    594,710.46x = 820,701.20 × 322,778.32
  4. Step 4: Simplify right side
    594,710.46x = 264,904,554,557.98
  5. Step 5: Solve for x
    x = 264,904,554,557.98/594,710.46
  6. Step 6: Final answer
    x = 445,434.50

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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.