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Finding the Fourth Proportional to 301,733.78, 416,392.74 and 165,776.45

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Solution

The fourth proportional to 301,733.78, 416,392.74 and 165,776.45 is: 228,771.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,733.78 : 416,392.74 = 165,776.45 : x
  2. Step 2: Convert to fraction form
    301,733.78/416,392.74 = 165,776.45/x
  3. Step 3: Cross multiply
    301,733.78x = 416,392.74 × 165,776.45
  4. Step 4: Simplify right side
    301,733.78x = 69,028,108,161.01
  5. Step 5: Solve for x
    x = 69,028,108,161.01/301,733.78
  6. Step 6: Final answer
    x = 228,771.57

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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.