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Finding the Fourth Proportional to 304,678.26, 456,922.62 and 102,234.96

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Solution

The fourth proportional to 304,678.26, 456,922.62 and 102,234.96 is: 153,320.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,678.26 : 456,922.62 = 102,234.96 : x
  2. Step 2: Convert to fraction form
    304,678.26/456,922.62 = 102,234.96/x
  3. Step 3: Cross multiply
    304,678.26x = 456,922.62 × 102,234.96
  4. Step 4: Simplify right side
    304,678.26x = 46,713,465,778.80
  5. Step 5: Solve for x
    x = 46,713,465,778.80/304,678.26
  6. Step 6: Final answer
    x = 153,320.64

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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.