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Finding the Fourth Proportional to 301,196.44, 415,656.63 and 165,237.34

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Solution

The fourth proportional to 301,196.44, 415,656.63 and 165,237.34 is: 228,030.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,196.44 : 415,656.63 = 165,237.34 : x
  2. Step 2: Convert to fraction form
    301,196.44/415,656.63 = 165,237.34/x
  3. Step 3: Cross multiply
    301,196.44x = 415,656.63 × 165,237.34
  4. Step 4: Simplify right side
    301,196.44x = 68,681,995,894.56
  5. Step 5: Solve for x
    x = 68,681,995,894.56/301,196.44
  6. Step 6: Final answer
    x = 228,030.57

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1.5x scale

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.