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Finding the Fourth Proportional to 309,825.80, 464,738.70 and 191,630.60

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Solution

The fourth proportional to 309,825.80, 464,738.70 and 191,630.60 is: 287,445.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,825.80 : 464,738.70 = 191,630.60 : x
  2. Step 2: Convert to fraction form
    309,825.80/464,738.70 = 191,630.60/x
  3. Step 3: Cross multiply
    309,825.80x = 464,738.70 × 191,630.60
  4. Step 4: Simplify right side
    309,825.80x = 89,058,155,924.22
  5. Step 5: Solve for x
    x = 89,058,155,924.22/309,825.80
  6. Step 6: Final answer
    x = 287,445.90

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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.