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Finding the Fourth Proportional to 594,735.86, 820,713.50 and 322,797.93

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Solution

The fourth proportional to 594,735.86, 820,713.50 and 322,797.93 is: 445,449.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,735.86 : 820,713.50 = 322,797.93 : x
  2. Step 2: Convert to fraction form
    594,735.86/820,713.50 = 322,797.93/x
  3. Step 3: Cross multiply
    594,735.86x = 820,713.50 × 322,797.93
  4. Step 4: Simplify right side
    594,735.86x = 264,924,623,728.46
  5. Step 5: Solve for x
    x = 264,924,623,728.46/594,735.86
  6. Step 6: Final answer
    x = 445,449.22

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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.