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Finding the Fourth Proportional to 588,141.76, 811,820.64 and 333,662.08

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Solution

The fourth proportional to 588,141.76, 811,820.64 and 333,662.08 is: 460,558.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,141.76 : 811,820.64 = 333,662.08 : x
  2. Step 2: Convert to fraction form
    588,141.76/811,820.64 = 333,662.08/x
  3. Step 3: Cross multiply
    588,141.76x = 811,820.64 × 333,662.08
  4. Step 4: Simplify right side
    588,141.76x = 270,873,763,329.33
  5. Step 5: Solve for x
    x = 270,873,763,329.33/588,141.76
  6. Step 6: Final answer
    x = 460,558.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.