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Finding the Fourth Proportional to 338,266, 466,807.08 and 204,130

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Solution

The fourth proportional to 338,266, 466,807.08 and 204,130 is: 281,699.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,266 : 466,807.08 = 204,130 : x
  2. Step 2: Convert to fraction form
    338,266/466,807.08 = 204,130/x
  3. Step 3: Cross multiply
    338,266x = 466,807.08 × 204,130
  4. Step 4: Simplify right side
    338,266x = 95,289,329,240.40
  5. Step 5: Solve for x
    x = 95,289,329,240.40/338,266
  6. Step 6: Final answer
    x = 281,699.40

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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.