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Finding the Fourth Proportional to 594,743.13, 820,743.49 and 322,811.01

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Solution

The fourth proportional to 594,743.13, 820,743.49 and 322,811.01 is: 445,478.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,743.13 : 820,743.49 = 322,811.01 : x
  2. Step 2: Convert to fraction form
    594,743.13/820,743.49 = 322,811.01/x
  3. Step 3: Cross multiply
    594,743.13x = 820,743.49 × 322,811.01
  4. Step 4: Simplify right side
    594,743.13x = 264,945,034,957.83
  5. Step 5: Solve for x
    x = 264,945,034,957.83/594,743.13
  6. Step 6: Final answer
    x = 445,478.09

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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.