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Finding the Fourth Proportional to 594,213.15, 889,798.39 and 327,678

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Solution

The fourth proportional to 594,213.15, 889,798.39 and 327,678 is: 490,678.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,213.15 : 889,798.39 = 327,678 : x
  2. Step 2: Convert to fraction form
    594,213.15/889,798.39 = 327,678/x
  3. Step 3: Cross multiply
    594,213.15x = 889,798.39 × 327,678
  4. Step 4: Simplify right side
    594,213.15x = 291,567,356,838.42
  5. Step 5: Solve for x
    x = 291,567,356,838.42/594,213.15
  6. Step 6: Final answer
    x = 490,678.06

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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.