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Finding the Fourth Proportional to 304,804.80, 457,207.20 and 262,814.40

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Solution

The fourth proportional to 304,804.80, 457,207.20 and 262,814.40 is: 394,221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,804.80 : 457,207.20 = 262,814.40 : x
  2. Step 2: Convert to fraction form
    304,804.80/457,207.20 = 262,814.40/x
  3. Step 3: Cross multiply
    304,804.80x = 457,207.20 × 262,814.40
  4. Step 4: Simplify right side
    304,804.80x = 120,160,635,943.68
  5. Step 5: Solve for x
    x = 120,160,635,943.68/304,804.80
  6. Step 6: Final answer
    x = 394,221.60

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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.