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Finding the Fourth Proportional to 462,906.34, 693,728.93 and 283,054.75

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Solution

The fourth proportional to 462,906.34, 693,728.93 and 283,054.75 is: 424,196.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,906.34 : 693,728.93 = 283,054.75 : x
  2. Step 2: Convert to fraction form
    462,906.34/693,728.93 = 283,054.75/x
  3. Step 3: Cross multiply
    462,906.34x = 693,728.93 × 283,054.75
  4. Step 4: Simplify right side
    462,906.34x = 196,363,267,433.64
  5. Step 5: Solve for x
    x = 196,363,267,433.64/462,906.34
  6. Step 6: Final answer
    x = 424,196.54

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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.