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Finding the Fourth Proportional to 293,452.36, 404,956.95 and 164,389.98

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Solution

The fourth proportional to 293,452.36, 404,956.95 and 164,389.98 is: 226,854.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,452.36 : 404,956.95 = 164,389.98 : x
  2. Step 2: Convert to fraction form
    293,452.36/404,956.95 = 164,389.98/x
  3. Step 3: Cross multiply
    293,452.36x = 404,956.95 × 164,389.98
  4. Step 4: Simplify right side
    293,452.36x = 66,570,862,064.63
  5. Step 5: Solve for x
    x = 66,570,862,064.63/293,452.36
  6. Step 6: Final answer
    x = 226,854.07

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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.