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Finding the Fourth Proportional to 582,277.48, 803,566.50 and 324,165

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Solution

The fourth proportional to 582,277.48, 803,566.50 and 324,165 is: 447,360.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,277.48 : 803,566.50 = 324,165 : x
  2. Step 2: Convert to fraction form
    582,277.48/803,566.50 = 324,165/x
  3. Step 3: Cross multiply
    582,277.48x = 803,566.50 × 324,165
  4. Step 4: Simplify right side
    582,277.48x = 260,488,134,472.50
  5. Step 5: Solve for x
    x = 260,488,134,472.50/582,277.48
  6. Step 6: Final answer
    x = 447,360.83

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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.