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Finding the Fourth Proportional to 435,274.56, 654,091.20 and 235,742.40

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Solution

The fourth proportional to 435,274.56, 654,091.20 and 235,742.40 is: 354,252.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,274.56 : 654,091.20 = 235,742.40 : x
  2. Step 2: Convert to fraction form
    435,274.56/654,091.20 = 235,742.40/x
  3. Step 3: Cross multiply
    435,274.56x = 654,091.20 × 235,742.40
  4. Step 4: Simplify right side
    435,274.56x = 154,197,029,306.88
  5. Step 5: Solve for x
    x = 154,197,029,306.88/435,274.56
  6. Step 6: Final answer
    x = 354,252.34

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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.