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Finding the Fourth Proportional to 307,472, 461,276.16 and 94,269.44

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Solution

The fourth proportional to 307,472, 461,276.16 and 94,269.44 is: 141,425.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,472 : 461,276.16 = 94,269.44 : x
  2. Step 2: Convert to fraction form
    307,472/461,276.16 = 94,269.44/x
  3. Step 3: Cross multiply
    307,472x = 461,276.16 × 94,269.44
  4. Step 4: Simplify right side
    307,472x = 43,484,245,288.55
  5. Step 5: Solve for x
    x = 43,484,245,288.55/307,472
  6. Step 6: Final answer
    x = 141,425.06

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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.