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Finding the Fourth Proportional to 272,843.40, 409,265.10 and 233,477.40

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Solution

The fourth proportional to 272,843.40, 409,265.10 and 233,477.40 is: 350,216.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,843.40 : 409,265.10 = 233,477.40 : x
  2. Step 2: Convert to fraction form
    272,843.40/409,265.10 = 233,477.40/x
  3. Step 3: Cross multiply
    272,843.40x = 409,265.10 × 233,477.40
  4. Step 4: Simplify right side
    272,843.40x = 95,554,151,458.74
  5. Step 5: Solve for x
    x = 95,554,151,458.74/272,843.40
  6. Step 6: Final answer
    x = 350,216.10

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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.