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Finding the Fourth Proportional to 294,530.58, 406,463.67 and 167,218.02

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Solution

The fourth proportional to 294,530.58, 406,463.67 and 167,218.02 is: 230,767.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,530.58 : 406,463.67 = 167,218.02 : x
  2. Step 2: Convert to fraction form
    294,530.58/406,463.67 = 167,218.02/x
  3. Step 3: Cross multiply
    294,530.58x = 406,463.67 × 167,218.02
  4. Step 4: Simplify right side
    294,530.58x = 67,968,050,099.33
  5. Step 5: Solve for x
    x = 67,968,050,099.33/294,530.58
  6. Step 6: Final answer
    x = 230,767.38

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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.