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Finding the Fourth Proportional to 342,718.35, 513,680.09 and 202,594.83

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Solution

The fourth proportional to 342,718.35, 513,680.09 and 202,594.83 is: 303,657.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,718.35 : 513,680.09 = 202,594.83 : x
  2. Step 2: Convert to fraction form
    342,718.35/513,680.09 = 202,594.83/x
  3. Step 3: Cross multiply
    342,718.35x = 513,680.09 × 202,594.83
  4. Step 4: Simplify right side
    342,718.35x = 104,068,929,494.96
  5. Step 5: Solve for x
    x = 104,068,929,494.96/342,718.35
  6. Step 6: Final answer
    x = 303,657.30

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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.