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Finding the Fourth Proportional to 304,814.40, 457,480.80 and 136,593.60

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Solution

The fourth proportional to 304,814.40, 457,480.80 and 136,593.60 is: 205,006.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,814.40 : 457,480.80 = 136,593.60 : x
  2. Step 2: Convert to fraction form
    304,814.40/457,480.80 = 136,593.60/x
  3. Step 3: Cross multiply
    304,814.40x = 457,480.80 × 136,593.60
  4. Step 4: Simplify right side
    304,814.40x = 62,488,949,402.88
  5. Step 5: Solve for x
    x = 62,488,949,402.88/304,814.40
  6. Step 6: Final answer
    x = 205,006.55

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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.