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Finding the Fourth Proportional to 409,049.20, 613,573.80 and 304,073.20

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Solution

The fourth proportional to 409,049.20, 613,573.80 and 304,073.20 is: 456,109.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,049.20 : 613,573.80 = 304,073.20 : x
  2. Step 2: Convert to fraction form
    409,049.20/613,573.80 = 304,073.20/x
  3. Step 3: Cross multiply
    409,049.20x = 613,573.80 × 304,073.20
  4. Step 4: Simplify right side
    409,049.20x = 186,571,348,802.16
  5. Step 5: Solve for x
    x = 186,571,348,802.16/409,049.20
  6. Step 6: Final answer
    x = 456,109.80

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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.