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Finding the Fourth Proportional to 401,095.80, 601,497.90 and 201,349.80

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Solution

The fourth proportional to 401,095.80, 601,497.90 and 201,349.80 is: 301,951.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,095.80 : 601,497.90 = 201,349.80 : x
  2. Step 2: Convert to fraction form
    401,095.80/601,497.90 = 201,349.80/x
  3. Step 3: Cross multiply
    401,095.80x = 601,497.90 × 201,349.80
  4. Step 4: Simplify right side
    401,095.80x = 121,111,481,865.42
  5. Step 5: Solve for x
    x = 121,111,481,865.42/401,095.80
  6. Step 6: Final answer
    x = 301,951.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.