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Finding the Fourth Proportional to 469,524.63, 704,205.09 and 216,783.54

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Solution

The fourth proportional to 469,524.63, 704,205.09 and 216,783.54 is: 325,137.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,524.63 : 704,205.09 = 216,783.54 : x
  2. Step 2: Convert to fraction form
    469,524.63/704,205.09 = 216,783.54/x
  3. Step 3: Cross multiply
    469,524.63x = 704,205.09 × 216,783.54
  4. Step 4: Simplify right side
    469,524.63x = 152,660,072,296.22
  5. Step 5: Solve for x
    x = 152,660,072,296.22/469,524.63
  6. Step 6: Final answer
    x = 325,137.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.