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Finding the Fourth Proportional to 594,902.70, 820,972.13 and 322,973.55

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Solution

The fourth proportional to 594,902.70, 820,972.13 and 322,973.55 is: 445,706.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,902.70 : 820,972.13 = 322,973.55 : x
  2. Step 2: Convert to fraction form
    594,902.70/820,972.13 = 322,973.55/x
  3. Step 3: Cross multiply
    594,902.70x = 820,972.13 × 322,973.55
  4. Step 4: Simplify right side
    594,902.70x = 265,152,281,662.29
  5. Step 5: Solve for x
    x = 265,152,281,662.29/594,902.70
  6. Step 6: Final answer
    x = 445,706.97

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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.