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Finding the Fourth Proportional to 254,692.60, 382,211.70 and 165,729.40

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Solution

The fourth proportional to 254,692.60, 382,211.70 and 165,729.40 is: 248,706.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,692.60 : 382,211.70 = 165,729.40 : x
  2. Step 2: Convert to fraction form
    254,692.60/382,211.70 = 165,729.40/x
  3. Step 3: Cross multiply
    254,692.60x = 382,211.70 × 165,729.40
  4. Step 4: Simplify right side
    254,692.60x = 63,343,715,713.98
  5. Step 5: Solve for x
    x = 63,343,715,713.98/254,692.60
  6. Step 6: Final answer
    x = 248,706.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.