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Finding the Fourth Proportional to 301,118.56, 415,505.32 and 172,065.40

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Solution

The fourth proportional to 301,118.56, 415,505.32 and 172,065.40 is: 237,428.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,118.56 : 415,505.32 = 172,065.40 : x
  2. Step 2: Convert to fraction form
    301,118.56/415,505.32 = 172,065.40/x
  3. Step 3: Cross multiply
    301,118.56x = 415,505.32 × 172,065.40
  4. Step 4: Simplify right side
    301,118.56x = 71,494,089,087.93
  5. Step 5: Solve for x
    x = 71,494,089,087.93/301,118.56
  6. Step 6: Final answer
    x = 237,428.37

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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.