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Finding the Fourth Proportional to 562,866.82, 844,611.84 and 208,113.58

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Solution

The fourth proportional to 562,866.82, 844,611.84 and 208,113.58 is: 312,285.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,866.82 : 844,611.84 = 208,113.58 : x
  2. Step 2: Convert to fraction form
    562,866.82/844,611.84 = 208,113.58/x
  3. Step 3: Cross multiply
    562,866.82x = 844,611.84 × 208,113.58
  4. Step 4: Simplify right side
    562,866.82x = 175,775,193,732.79
  5. Step 5: Solve for x
    x = 175,775,193,732.79/562,866.82
  6. Step 6: Final answer
    x = 312,285.58

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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.