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Finding the Fourth Proportional to 647,940.60, 971,971.38 and 243,024.84

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Solution

The fourth proportional to 647,940.60, 971,971.38 and 243,024.84 is: 364,559.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,940.60 : 971,971.38 = 243,024.84 : x
  2. Step 2: Convert to fraction form
    647,940.60/971,971.38 = 243,024.84/x
  3. Step 3: Cross multiply
    647,940.60x = 971,971.38 × 243,024.84
  4. Step 4: Simplify right side
    647,940.60x = 236,213,189,109.08
  5. Step 5: Solve for x
    x = 236,213,189,109.08/647,940.60
  6. Step 6: Final answer
    x = 364,559.94

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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.