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Finding the Fourth Proportional to 301,343.52, 415,852.75 and 165,379.67

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Solution

The fourth proportional to 301,343.52, 415,852.75 and 165,379.67 is: 228,223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,343.52 : 415,852.75 = 165,379.67 : x
  2. Step 2: Convert to fraction form
    301,343.52/415,852.75 = 165,379.67/x
  3. Step 3: Cross multiply
    301,343.52x = 415,852.75 × 165,379.67
  4. Step 4: Simplify right side
    301,343.52x = 68,773,590,306.95
  5. Step 5: Solve for x
    x = 68,773,590,306.95/301,343.52
  6. Step 6: Final answer
    x = 228,223.22

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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.