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Finding the Fourth Proportional to 260,406.64, 359,370.84 and 147,222.64

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Solution

The fourth proportional to 260,406.64, 359,370.84 and 147,222.64 is: 203,172.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,406.64 : 359,370.84 = 147,222.64 : x
  2. Step 2: Convert to fraction form
    260,406.64/359,370.84 = 147,222.64/x
  3. Step 3: Cross multiply
    260,406.64x = 359,370.84 × 147,222.64
  4. Step 4: Simplify right side
    260,406.64x = 52,907,523,803.82
  5. Step 5: Solve for x
    x = 52,907,523,803.82/260,406.64
  6. Step 6: Final answer
    x = 203,172.71

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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.