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Finding the Fourth Proportional to 309,548.88, 464,323.32 and 204,343.20

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Solution

The fourth proportional to 309,548.88, 464,323.32 and 204,343.20 is: 306,514.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,548.88 : 464,323.32 = 204,343.20 : x
  2. Step 2: Convert to fraction form
    309,548.88/464,323.32 = 204,343.20/x
  3. Step 3: Cross multiply
    309,548.88x = 464,323.32 × 204,343.20
  4. Step 4: Simplify right side
    309,548.88x = 94,881,313,043.42
  5. Step 5: Solve for x
    x = 94,881,313,043.42/309,548.88
  6. Step 6: Final answer
    x = 306,514.80

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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.