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Finding the Fourth Proportional to 375,753.63, 518,529.27 and 214,605.36

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Solution

The fourth proportional to 375,753.63, 518,529.27 and 214,605.36 is: 296,149.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,753.63 : 518,529.27 = 214,605.36 : x
  2. Step 2: Convert to fraction form
    375,753.63/518,529.27 = 214,605.36/x
  3. Step 3: Cross multiply
    375,753.63x = 518,529.27 × 214,605.36
  4. Step 4: Simplify right side
    375,753.63x = 111,279,160,658.89
  5. Step 5: Solve for x
    x = 111,279,160,658.89/375,753.63
  6. Step 6: Final answer
    x = 296,149.26

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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.