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Finding the Fourth Proportional to 342,313.60, 512,498.40 and 323,694.40

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Solution

The fourth proportional to 342,313.60, 512,498.40 and 323,694.40 is: 484,622.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,313.60 : 512,498.40 = 323,694.40 : x
  2. Step 2: Convert to fraction form
    342,313.60/512,498.40 = 323,694.40/x
  3. Step 3: Cross multiply
    342,313.60x = 512,498.40 × 323,694.40
  4. Step 4: Simplify right side
    342,313.60x = 165,892,862,088.96
  5. Step 5: Solve for x
    x = 165,892,862,088.96/342,313.60
  6. Step 6: Final answer
    x = 484,622.47

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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.