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Finding the Fourth Proportional to 591,408, 816,143.04 and 323,136

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Solution

The fourth proportional to 591,408, 816,143.04 and 323,136 is: 445,927.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,408 : 816,143.04 = 323,136 : x
  2. Step 2: Convert to fraction form
    591,408/816,143.04 = 323,136/x
  3. Step 3: Cross multiply
    591,408x = 816,143.04 × 323,136
  4. Step 4: Simplify right side
    591,408x = 263,725,197,373.44
  5. Step 5: Solve for x
    x = 263,725,197,373.44/591,408
  6. Step 6: Final answer
    x = 445,927.68

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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.