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Finding the Fourth Proportional to 292,913.32, 404,233.86 and 165,594.28

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Solution

The fourth proportional to 292,913.32, 404,233.86 and 165,594.28 is: 228,527.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,913.32 : 404,233.86 = 165,594.28 : x
  2. Step 2: Convert to fraction form
    292,913.32/404,233.86 = 165,594.28/x
  3. Step 3: Cross multiply
    292,913.32x = 404,233.86 × 165,594.28
  4. Step 4: Simplify right side
    292,913.32x = 66,938,814,998.32
  5. Step 5: Solve for x
    x = 66,938,814,998.32/292,913.32
  6. Step 6: Final answer
    x = 228,527.73

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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.