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Finding the Fourth Proportional to 548,186.46, 822,695.13 and 232,864.62

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Solution

The fourth proportional to 548,186.46, 822,695.13 and 232,864.62 is: 349,473.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,186.46 : 822,695.13 = 232,864.62 : x
  2. Step 2: Convert to fraction form
    548,186.46/822,695.13 = 232,864.62/x
  3. Step 3: Cross multiply
    548,186.46x = 822,695.13 × 232,864.62
  4. Step 4: Simplify right side
    548,186.46x = 191,576,588,823.30
  5. Step 5: Solve for x
    x = 191,576,588,823.30/548,186.46
  6. Step 6: Final answer
    x = 349,473.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.