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Finding the Fourth Proportional to 577,021.50, 796,275 and 322,374.60

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Solution

The fourth proportional to 577,021.50, 796,275 and 322,374.60 is: 444,868.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,021.50 : 796,275 = 322,374.60 : x
  2. Step 2: Convert to fraction form
    577,021.50/796,275 = 322,374.60/x
  3. Step 3: Cross multiply
    577,021.50x = 796,275 × 322,374.60
  4. Step 4: Simplify right side
    577,021.50x = 256,698,834,615.00
  5. Step 5: Solve for x
    x = 256,698,834,615.00/577,021.50
  6. Step 6: Final answer
    x = 444,868.75

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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.