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Finding the Fourth Proportional to 338,814.55, 467,578.74 and 202,822.18

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Solution

The fourth proportional to 338,814.55, 467,578.74 and 202,822.18 is: 279,903.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,814.55 : 467,578.74 = 202,822.18 : x
  2. Step 2: Convert to fraction form
    338,814.55/467,578.74 = 202,822.18/x
  3. Step 3: Cross multiply
    338,814.55x = 467,578.74 × 202,822.18
  4. Step 4: Simplify right side
    338,814.55x = 94,835,339,368.45
  5. Step 5: Solve for x
    x = 94,835,339,368.45/338,814.55
  6. Step 6: Final answer
    x = 279,903.38

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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.