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Finding the Fourth Proportional to 465,503.52, 642,395.26 and 264,299.52

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Solution

The fourth proportional to 465,503.52, 642,395.26 and 264,299.52 is: 364,733.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,503.52 : 642,395.26 = 264,299.52 : x
  2. Step 2: Convert to fraction form
    465,503.52/642,395.26 = 264,299.52/x
  3. Step 3: Cross multiply
    465,503.52x = 642,395.26 × 264,299.52
  4. Step 4: Simplify right side
    465,503.52x = 169,784,758,868.28
  5. Step 5: Solve for x
    x = 169,784,758,868.28/465,503.52
  6. Step 6: Final answer
    x = 364,733.57

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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.