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Finding the Fourth Proportional to 582,542.54, 803,857.46 and 324,399.98

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Solution

The fourth proportional to 582,542.54, 803,857.46 and 324,399.98 is: 447,643.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,542.54 : 803,857.46 = 324,399.98 : x
  2. Step 2: Convert to fraction form
    582,542.54/803,857.46 = 324,399.98/x
  3. Step 3: Cross multiply
    582,542.54x = 803,857.46 × 324,399.98
  4. Step 4: Simplify right side
    582,542.54x = 260,771,343,946.85
  5. Step 5: Solve for x
    x = 260,771,343,946.85/582,542.54
  6. Step 6: Final answer
    x = 447,643.44

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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.