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Finding the Fourth Proportional to 588,448.86, 812,035.52 and 333,794.58

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Solution

The fourth proportional to 588,448.86, 812,035.52 and 333,794.58 is: 460,622.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,448.86 : 812,035.52 = 333,794.58 : x
  2. Step 2: Convert to fraction form
    588,448.86/812,035.52 = 333,794.58/x
  3. Step 3: Cross multiply
    588,448.86x = 812,035.52 × 333,794.58
  4. Step 4: Simplify right side
    588,448.86x = 271,053,055,343.48
  5. Step 5: Solve for x
    x = 271,053,055,343.48/588,448.86
  6. Step 6: Final answer
    x = 460,622.96

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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.