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Finding the Fourth Proportional to 338,429.80, 467,032.98 and 202,469.50

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Solution

The fourth proportional to 338,429.80, 467,032.98 and 202,469.50 is: 279,407.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,429.80 : 467,032.98 = 202,469.50 : x
  2. Step 2: Convert to fraction form
    338,429.80/467,032.98 = 202,469.50/x
  3. Step 3: Cross multiply
    338,429.80x = 467,032.98 × 202,469.50
  4. Step 4: Simplify right side
    338,429.80x = 94,559,933,944.11
  5. Step 5: Solve for x
    x = 94,559,933,944.11/338,429.80
  6. Step 6: Final answer
    x = 279,407.82

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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.