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Finding the Fourth Proportional to 307,851.40, 461,777.10 and 181,880.20

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Solution

The fourth proportional to 307,851.40, 461,777.10 and 181,880.20 is: 272,820.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,851.40 : 461,777.10 = 181,880.20 : x
  2. Step 2: Convert to fraction form
    307,851.40/461,777.10 = 181,880.20/x
  3. Step 3: Cross multiply
    307,851.40x = 461,777.10 × 181,880.20
  4. Step 4: Simplify right side
    307,851.40x = 83,988,111,303.42
  5. Step 5: Solve for x
    x = 83,988,111,303.42/307,851.40
  6. Step 6: Final answer
    x = 272,820.30

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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.