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Finding the Fourth Proportional to 304,589.92, 420,335.04 and 164,888.52

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Solution

The fourth proportional to 304,589.92, 420,335.04 and 164,888.52 is: 227,546.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,589.92 : 420,335.04 = 164,888.52 : x
  2. Step 2: Convert to fraction form
    304,589.92/420,335.04 = 164,888.52/x
  3. Step 3: Cross multiply
    304,589.92x = 420,335.04 × 164,888.52
  4. Step 4: Simplify right side
    304,589.92x = 69,308,422,649.74
  5. Step 5: Solve for x
    x = 69,308,422,649.74/304,589.92
  6. Step 6: Final answer
    x = 227,546.67

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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.