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Finding the Fourth Proportional to 307,507.94, 461,467.11 and 107,828.18

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Solution

The fourth proportional to 307,507.94, 461,467.11 and 107,828.18 is: 161,814.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,507.94 : 461,467.11 = 107,828.18 : x
  2. Step 2: Convert to fraction form
    307,507.94/461,467.11 = 107,828.18/x
  3. Step 3: Cross multiply
    307,507.94x = 461,467.11 × 107,828.18
  4. Step 4: Simplify right side
    307,507.94x = 49,759,158,601.16
  5. Step 5: Solve for x
    x = 49,759,158,601.16/307,507.94
  6. Step 6: Final answer
    x = 161,814.22

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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.