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Finding the Fourth Proportional to 338,830.84, 467,508.07 and 202,813.08

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Solution

The fourth proportional to 338,830.84, 467,508.07 and 202,813.08 is: 279,835.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,830.84 : 467,508.07 = 202,813.08 : x
  2. Step 2: Convert to fraction form
    338,830.84/467,508.07 = 202,813.08/x
  3. Step 3: Cross multiply
    338,830.84x = 467,508.07 × 202,813.08
  4. Step 4: Simplify right side
    338,830.84x = 94,816,748,756.98
  5. Step 5: Solve for x
    x = 94,816,748,756.98/338,830.84
  6. Step 6: Final answer
    x = 279,835.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.