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Finding the Fourth Proportional to 294,786.84, 406,803.82 and 167,462.40

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Solution

The fourth proportional to 294,786.84, 406,803.82 and 167,462.40 is: 231,096.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,786.84 : 406,803.82 = 167,462.40 : x
  2. Step 2: Convert to fraction form
    294,786.84/406,803.82 = 167,462.40/x
  3. Step 3: Cross multiply
    294,786.84x = 406,803.82 × 167,462.40
  4. Step 4: Simplify right side
    294,786.84x = 68,124,343,189.06
  5. Step 5: Solve for x
    x = 68,124,343,189.06/294,786.84
  6. Step 6: Final answer
    x = 231,096.96

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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.