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Finding the Fourth Proportional to 292,019.44, 402,986.76 and 164,694.76

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Solution

The fourth proportional to 292,019.44, 402,986.76 and 164,694.76 is: 227,278.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,019.44 : 402,986.76 = 164,694.76 : x
  2. Step 2: Convert to fraction form
    292,019.44/402,986.76 = 164,694.76/x
  3. Step 3: Cross multiply
    292,019.44x = 402,986.76 × 164,694.76
  4. Step 4: Simplify right side
    292,019.44x = 66,369,807,721.38
  5. Step 5: Solve for x
    x = 66,369,807,721.38/292,019.44
  6. Step 6: Final answer
    x = 227,278.73

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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.