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Finding the Fourth Proportional to 307,608.21, 461,409.51 and 97,246.20

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Solution

The fourth proportional to 307,608.21, 461,409.51 and 97,246.20 is: 145,868.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,608.21 : 461,409.51 = 97,246.20 : x
  2. Step 2: Convert to fraction form
    307,608.21/461,409.51 = 97,246.20/x
  3. Step 3: Cross multiply
    307,608.21x = 461,409.51 × 97,246.20
  4. Step 4: Simplify right side
    307,608.21x = 44,870,321,491.36
  5. Step 5: Solve for x
    x = 44,870,321,491.36/307,608.21
  6. Step 6: Final answer
    x = 145,868.41

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1.5x scale

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.