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Finding the Fourth Proportional to 460,485, 691,121.16 and 180,199.08

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Solution

The fourth proportional to 460,485, 691,121.16 and 180,199.08 is: 270,452.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,485 : 691,121.16 = 180,199.08 : x
  2. Step 2: Convert to fraction form
    460,485/691,121.16 = 180,199.08/x
  3. Step 3: Cross multiply
    460,485x = 691,121.16 × 180,199.08
  4. Step 4: Simplify right side
    460,485x = 124,539,397,200.53
  5. Step 5: Solve for x
    x = 124,539,397,200.53/460,485
  6. Step 6: Final answer
    x = 270,452.67

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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.