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Finding the Fourth Proportional to 591,706, 816,554.28 and 323,434

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Solution

The fourth proportional to 591,706, 816,554.28 and 323,434 is: 446,338.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,706 : 816,554.28 = 323,434 : x
  2. Step 2: Convert to fraction form
    591,706/816,554.28 = 323,434/x
  3. Step 3: Cross multiply
    591,706x = 816,554.28 × 323,434
  4. Step 4: Simplify right side
    591,706x = 264,101,416,997.52
  5. Step 5: Solve for x
    x = 264,101,416,997.52/591,706
  6. Step 6: Final answer
    x = 446,338.92

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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.