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Finding the Fourth Proportional to 292,028.32, 402,998.52 and 164,703.52

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Solution

The fourth proportional to 292,028.32, 402,998.52 and 164,703.52 is: 227,290.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,028.32 : 402,998.52 = 164,703.52 : x
  2. Step 2: Convert to fraction form
    292,028.32/402,998.52 = 164,703.52/x
  3. Step 3: Cross multiply
    292,028.32x = 402,998.52 × 164,703.52
  4. Step 4: Simplify right side
    292,028.32x = 66,375,274,798.79
  5. Step 5: Solve for x
    x = 66,375,274,798.79/292,028.32
  6. Step 6: Final answer
    x = 227,290.54

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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.