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Finding the Fourth Proportional to 304,031.44, 456,145.52 and 146,239.28

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Solution

The fourth proportional to 304,031.44, 456,145.52 and 146,239.28 is: 219,406.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,031.44 : 456,145.52 = 146,239.28 : x
  2. Step 2: Convert to fraction form
    304,031.44/456,145.52 = 146,239.28/x
  3. Step 3: Cross multiply
    304,031.44x = 456,145.52 × 146,239.28
  4. Step 4: Simplify right side
    304,031.44x = 66,706,392,420.03
  5. Step 5: Solve for x
    x = 66,706,392,420.03/304,031.44
  6. Step 6: Final answer
    x = 219,406.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.