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Finding the Fourth Proportional to 375,960.24, 518,777.01 and 214,825.77

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Solution

The fourth proportional to 375,960.24, 518,777.01 and 214,825.77 is: 296,432.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,960.24 : 518,777.01 = 214,825.77 : x
  2. Step 2: Convert to fraction form
    375,960.24/518,777.01 = 214,825.77/x
  3. Step 3: Cross multiply
    375,960.24x = 518,777.01 × 214,825.77
  4. Step 4: Simplify right side
    375,960.24x = 111,446,670,631.55
  5. Step 5: Solve for x
    x = 111,446,670,631.55/375,960.24
  6. Step 6: Final answer
    x = 296,432.07

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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.