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Finding the Fourth Proportional to 594,754.16, 820,761.40 and 322,821.98

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Solution

The fourth proportional to 594,754.16, 820,761.40 and 322,821.98 is: 445,494.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,754.16 : 820,761.40 = 322,821.98 : x
  2. Step 2: Convert to fraction form
    594,754.16/820,761.40 = 322,821.98/x
  3. Step 3: Cross multiply
    594,754.16x = 820,761.40 × 322,821.98
  4. Step 4: Simplify right side
    594,754.16x = 264,959,818,251.98
  5. Step 5: Solve for x
    x = 264,959,818,251.98/594,754.16
  6. Step 6: Final answer
    x = 445,494.69

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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.