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Finding the Fourth Proportional to 510,211.40, 765,608.70 and 194,894.60

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Solution

The fourth proportional to 510,211.40, 765,608.70 and 194,894.60 is: 292,453.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,211.40 : 765,608.70 = 194,894.60 : x
  2. Step 2: Convert to fraction form
    510,211.40/765,608.70 = 194,894.60/x
  3. Step 3: Cross multiply
    510,211.40x = 765,608.70 × 194,894.60
  4. Step 4: Simplify right side
    510,211.40x = 149,213,001,343.02
  5. Step 5: Solve for x
    x = 149,213,001,343.02/510,211.40
  6. Step 6: Final answer
    x = 292,453.29

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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.