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Finding the Fourth Proportional to 469,845.09, 704,273.18 and 299,196.54

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Solution

The fourth proportional to 469,845.09, 704,273.18 and 299,196.54 is: 448,479.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,845.09 : 704,273.18 = 299,196.54 : x
  2. Step 2: Convert to fraction form
    469,845.09/704,273.18 = 299,196.54/x
  3. Step 3: Cross multiply
    469,845.09x = 704,273.18 × 299,196.54
  4. Step 4: Simplify right side
    469,845.09x = 210,716,097,174.82
  5. Step 5: Solve for x
    x = 210,716,097,174.82/469,845.09
  6. Step 6: Final answer
    x = 448,479.94

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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.