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Finding the Fourth Proportional to 594,744.16, 820,724.88 and 322,806.24

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Solution

The fourth proportional to 594,744.16, 820,724.88 and 322,806.24 is: 445,460.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,744.16 : 820,724.88 = 322,806.24 : x
  2. Step 2: Convert to fraction form
    594,744.16/820,724.88 = 322,806.24/x
  3. Step 3: Cross multiply
    594,744.16x = 820,724.88 × 322,806.24
  4. Step 4: Simplify right side
    594,744.16x = 264,935,112,587.25
  5. Step 5: Solve for x
    x = 264,935,112,587.25/594,744.16
  6. Step 6: Final answer
    x = 445,460.64

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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.