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Finding the Fourth Proportional to 304,673.72, 457,066.78 and 102,249.86

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Solution

The fourth proportional to 304,673.72, 457,066.78 and 102,249.86 is: 153,393.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,673.72 : 457,066.78 = 102,249.86 : x
  2. Step 2: Convert to fraction form
    304,673.72/457,066.78 = 102,249.86/x
  3. Step 3: Cross multiply
    304,673.72x = 457,066.78 × 102,249.86
  4. Step 4: Simplify right side
    304,673.72x = 46,735,014,265.65
  5. Step 5: Solve for x
    x = 46,735,014,265.65/304,673.72
  6. Step 6: Final answer
    x = 153,393.65

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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.