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Finding the Fourth Proportional to 562,248, 843,372.81 and 229,824

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Solution

The fourth proportional to 562,248, 843,372.81 and 229,824 is: 344,736.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,248 : 843,372.81 = 229,824 : x
  2. Step 2: Convert to fraction form
    562,248/843,372.81 = 229,824/x
  3. Step 3: Cross multiply
    562,248x = 843,372.81 × 229,824
  4. Step 4: Simplify right side
    562,248x = 193,827,312,685.44
  5. Step 5: Solve for x
    x = 193,827,312,685.44/562,248
  6. Step 6: Final answer
    x = 344,736.33

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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.