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Finding the Fourth Proportional to 307,047, 423,727.59 and 179,725.32

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Solution

The fourth proportional to 307,047, 423,727.59 and 179,725.32 is: 248,022.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,047 : 423,727.59 = 179,725.32 : x
  2. Step 2: Convert to fraction form
    307,047/423,727.59 = 179,725.32/x
  3. Step 3: Cross multiply
    307,047x = 423,727.59 × 179,725.32
  4. Step 4: Simplify right side
    307,047x = 76,154,576,705.58
  5. Step 5: Solve for x
    x = 76,154,576,705.58/307,047
  6. Step 6: Final answer
    x = 248,022.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.