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Finding the Fourth Proportional to 594,914.76, 820,992.24 and 322,982.64

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Solution

The fourth proportional to 594,914.76, 820,992.24 and 322,982.64 is: 445,721.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,914.76 : 820,992.24 = 322,982.64 : x
  2. Step 2: Convert to fraction form
    594,914.76/820,992.24 = 322,982.64/x
  3. Step 3: Cross multiply
    594,914.76x = 820,992.24 × 322,982.64
  4. Step 4: Simplify right side
    594,914.76x = 265,166,241,094.71
  5. Step 5: Solve for x
    x = 265,166,241,094.71/594,914.76
  6. Step 6: Final answer
    x = 445,721.40

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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.