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Finding the Fourth Proportional to 214,718.62, 320,632.00 and 175,353.82

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Solution

The fourth proportional to 214,718.62, 320,632.00 and 175,353.82 is: 261,849.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,718.62 : 320,632.00 = 175,353.82 : x
  2. Step 2: Convert to fraction form
    214,718.62/320,632.00 = 175,353.82/x
  3. Step 3: Cross multiply
    214,718.62x = 320,632.00 × 175,353.82
  4. Step 4: Simplify right side
    214,718.62x = 56,224,045,137.47
  5. Step 5: Solve for x
    x = 56,224,045,137.47/214,718.62
  6. Step 6: Final answer
    x = 261,849.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.