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Finding the Fourth Proportional to 292,983.86, 404,325.69 and 165,678.50

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Solution

The fourth proportional to 292,983.86, 404,325.69 and 165,678.50 is: 228,640.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,983.86 : 404,325.69 = 165,678.50 : x
  2. Step 2: Convert to fraction form
    292,983.86/404,325.69 = 165,678.50/x
  3. Step 3: Cross multiply
    292,983.86x = 404,325.69 × 165,678.50
  4. Step 4: Simplify right side
    292,983.86x = 66,988,073,830.67
  5. Step 5: Solve for x
    x = 66,988,073,830.67/292,983.86
  6. Step 6: Final answer
    x = 228,640.83

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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.