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Finding the Fourth Proportional to 292,931.91, 404,240.68 and 165,607.54

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Solution

The fourth proportional to 292,931.91, 404,240.68 and 165,607.54 is: 228,535.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,931.91 : 404,240.68 = 165,607.54 : x
  2. Step 2: Convert to fraction form
    292,931.91/404,240.68 = 165,607.54/x
  3. Step 3: Cross multiply
    292,931.91x = 404,240.68 × 165,607.54
  4. Step 4: Simplify right side
    292,931.91x = 66,945,304,582.73
  5. Step 5: Solve for x
    x = 66,945,304,582.73/292,931.91
  6. Step 6: Final answer
    x = 228,535.38

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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.