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Finding the Fourth Proportional to 590,138.64, 884,754.24 and 305,524.08

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Solution

The fourth proportional to 590,138.64, 884,754.24 and 305,524.08 is: 458,051.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,138.64 : 884,754.24 = 305,524.08 : x
  2. Step 2: Convert to fraction form
    590,138.64/884,754.24 = 305,524.08/x
  3. Step 3: Cross multiply
    590,138.64x = 884,754.24 × 305,524.08
  4. Step 4: Simplify right side
    590,138.64x = 270,313,725,202.10
  5. Step 5: Solve for x
    x = 270,313,725,202.10/590,138.64
  6. Step 6: Final answer
    x = 458,051.22

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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.