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Finding the Fourth Proportional to 591,846, 816,750.36 and 323,574

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Solution

The fourth proportional to 591,846, 816,750.36 and 323,574 is: 446,533.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,846 : 816,750.36 = 323,574 : x
  2. Step 2: Convert to fraction form
    591,846/816,750.36 = 323,574/x
  3. Step 3: Cross multiply
    591,846x = 816,750.36 × 323,574
  4. Step 4: Simplify right side
    591,846x = 264,279,180,986.64
  5. Step 5: Solve for x
    x = 264,279,180,986.64/591,846
  6. Step 6: Final answer
    x = 446,533.69

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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.