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Finding the Fourth Proportional to 294,064.70, 441,097.05 and 266,945.90

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Solution

The fourth proportional to 294,064.70, 441,097.05 and 266,945.90 is: 400,418.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,064.70 : 441,097.05 = 266,945.90 : x
  2. Step 2: Convert to fraction form
    294,064.70/441,097.05 = 266,945.90/x
  3. Step 3: Cross multiply
    294,064.70x = 441,097.05 × 266,945.90
  4. Step 4: Simplify right side
    294,064.70x = 117,749,048,999.60
  5. Step 5: Solve for x
    x = 117,749,048,999.60/294,064.70
  6. Step 6: Final answer
    x = 400,418.85

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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.