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Finding the Fourth Proportional to 301,377, 415,919.74 and 167,241

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Solution

The fourth proportional to 301,377, 415,919.74 and 167,241 is: 230,803.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,377 : 415,919.74 = 167,241 : x
  2. Step 2: Convert to fraction form
    301,377/415,919.74 = 167,241/x
  3. Step 3: Cross multiply
    301,377x = 415,919.74 × 167,241
  4. Step 4: Simplify right side
    301,377x = 69,558,833,237.34
  5. Step 5: Solve for x
    x = 69,558,833,237.34/301,377
  6. Step 6: Final answer
    x = 230,803.39

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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.