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Finding the Fourth Proportional to 713,924.42, 1,071,213.42 and 309,240.32

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Solution

The fourth proportional to 713,924.42, 1,071,213.42 and 309,240.32 is: 464,002.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,924.42 : 1,071,213.42 = 309,240.32 : x
  2. Step 2: Convert to fraction form
    713,924.42/1,071,213.42 = 309,240.32/x
  3. Step 3: Cross multiply
    713,924.42x = 1,071,213.42 × 309,240.32
  4. Step 4: Simplify right side
    713,924.42x = 331,262,380,789.09
  5. Step 5: Solve for x
    x = 331,262,380,789.09/713,924.42
  6. Step 6: Final answer
    x = 464,002.03

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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.