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Finding the Fourth Proportional to 293,508.77, 405,857.42 and 232,974.31

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Solution

The fourth proportional to 293,508.77, 405,857.42 and 232,974.31 is: 322,151.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,508.77 : 405,857.42 = 232,974.31 : x
  2. Step 2: Convert to fraction form
    293,508.77/405,857.42 = 232,974.31/x
  3. Step 3: Cross multiply
    293,508.77x = 405,857.42 × 232,974.31
  4. Step 4: Simplify right side
    293,508.77x = 94,554,354,533.07
  5. Step 5: Solve for x
    x = 94,554,354,533.07/293,508.77
  6. Step 6: Final answer
    x = 322,151.72

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1.5x scale

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.