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Finding the Fourth Proportional to 562,064.16, 842,653.32 and 206,884.44

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Solution

The fourth proportional to 562,064.16, 842,653.32 and 206,884.44 is: 310,163.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,064.16 : 842,653.32 = 206,884.44 : x
  2. Step 2: Convert to fraction form
    562,064.16/842,653.32 = 206,884.44/x
  3. Step 3: Cross multiply
    562,064.16x = 842,653.32 × 206,884.44
  4. Step 4: Simplify right side
    562,064.16x = 174,331,860,222.34
  5. Step 5: Solve for x
    x = 174,331,860,222.34/562,064.16
  6. Step 6: Final answer
    x = 310,163.63

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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.