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Finding the Fourth Proportional to 294,045.40, 405,874.02 and 233,723.08

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Solution

The fourth proportional to 294,045.40, 405,874.02 and 233,723.08 is: 322,610.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,045.40 : 405,874.02 = 233,723.08 : x
  2. Step 2: Convert to fraction form
    294,045.40/405,874.02 = 233,723.08/x
  3. Step 3: Cross multiply
    294,045.40x = 405,874.02 × 233,723.08
  4. Step 4: Simplify right side
    294,045.40x = 94,862,126,046.38
  5. Step 5: Solve for x
    x = 94,862,126,046.38/294,045.40
  6. Step 6: Final answer
    x = 322,610.47

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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.