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Finding the Fourth Proportional to 401,104.80, 601,657.20 and 233,143.20

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Solution

The fourth proportional to 401,104.80, 601,657.20 and 233,143.20 is: 349,714.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,104.80 : 601,657.20 = 233,143.20 : x
  2. Step 2: Convert to fraction form
    401,104.80/601,657.20 = 233,143.20/x
  3. Step 3: Cross multiply
    401,104.80x = 601,657.20 × 233,143.20
  4. Step 4: Simplify right side
    401,104.80x = 140,272,284,911.04
  5. Step 5: Solve for x
    x = 140,272,284,911.04/401,104.80
  6. Step 6: Final answer
    x = 349,714.80

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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.