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Finding the Fourth Proportional to 307,851.40, 461,777.10 and 296,041.60

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Solution

The fourth proportional to 307,851.40, 461,777.10 and 296,041.60 is: 444,062.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,851.40 : 461,777.10 = 296,041.60 : x
  2. Step 2: Convert to fraction form
    307,851.40/461,777.10 = 296,041.60/x
  3. Step 3: Cross multiply
    307,851.40x = 461,777.10 × 296,041.60
  4. Step 4: Simplify right side
    307,851.40x = 136,705,231,527.36
  5. Step 5: Solve for x
    x = 136,705,231,527.36/307,851.40
  6. Step 6: Final answer
    x = 444,062.40

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Why These Related Problems?

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