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Finding the Fourth Proportional to 260,523.22, 359,589.64 and 147,411.58

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Solution

The fourth proportional to 260,523.22, 359,589.64 and 147,411.58 is: 203,466.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,523.22 : 359,589.64 = 147,411.58 : x
  2. Step 2: Convert to fraction form
    260,523.22/359,589.64 = 147,411.58/x
  3. Step 3: Cross multiply
    260,523.22x = 359,589.64 × 147,411.58
  4. Step 4: Simplify right side
    260,523.22x = 53,007,676,984.03
  5. Step 5: Solve for x
    x = 53,007,676,984.03/260,523.22
  6. Step 6: Final answer
    x = 203,466.23

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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.