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Finding the Fourth Proportional to 594,894.26, 820,964.00 and 322,962.21

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Solution

The fourth proportional to 594,894.26, 820,964.00 and 322,962.21 is: 445,693.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,894.26 : 820,964.00 = 322,962.21 : x
  2. Step 2: Convert to fraction form
    594,894.26/820,964.00 = 322,962.21/x
  3. Step 3: Cross multiply
    594,894.26x = 820,964.00 × 322,962.21
  4. Step 4: Simplify right side
    594,894.26x = 265,140,346,155.63
  5. Step 5: Solve for x
    x = 265,140,346,155.63/594,894.26
  6. Step 6: Final answer
    x = 445,693.23

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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.