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Finding the Fourth Proportional to 307,760.64, 461,687.04 and 97,328.64

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Solution

The fourth proportional to 307,760.64, 461,687.04 and 97,328.64 is: 146,007.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,760.64 : 461,687.04 = 97,328.64 : x
  2. Step 2: Convert to fraction form
    307,760.64/461,687.04 = 97,328.64/x
  3. Step 3: Cross multiply
    307,760.64x = 461,687.04 × 97,328.64
  4. Step 4: Simplify right side
    307,760.64x = 44,935,371,708.83
  5. Step 5: Solve for x
    x = 44,935,371,708.83/307,760.64
  6. Step 6: Final answer
    x = 146,007.53

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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.