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Finding the Fourth Proportional to 594,598.74, 820,541.97 and 322,659.78

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Solution

The fourth proportional to 594,598.74, 820,541.97 and 322,659.78 is: 445,268.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,598.74 : 820,541.97 = 322,659.78 : x
  2. Step 2: Convert to fraction form
    594,598.74/820,541.97 = 322,659.78/x
  3. Step 3: Cross multiply
    594,598.74x = 820,541.97 × 322,659.78
  4. Step 4: Simplify right side
    594,598.74x = 264,755,891,520.97
  5. Step 5: Solve for x
    x = 264,755,891,520.97/594,598.74
  6. Step 6: Final answer
    x = 445,268.17

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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.