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Finding the Fourth Proportional to 562,850.78, 844,587.81 and 208,097.51

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Solution

The fourth proportional to 562,850.78, 844,587.81 and 208,097.51 is: 312,261.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,850.78 : 844,587.81 = 208,097.51 : x
  2. Step 2: Convert to fraction form
    562,850.78/844,587.81 = 208,097.51/x
  3. Step 3: Cross multiply
    562,850.78x = 844,587.81 × 208,097.51
  4. Step 4: Simplify right side
    562,850.78x = 175,756,616,014.41
  5. Step 5: Solve for x
    x = 175,756,616,014.41/562,850.78
  6. Step 6: Final answer
    x = 312,261.48

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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.