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Finding the Fourth Proportional to 451,837.60, 676,978.80 and 293,984.80

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Solution

The fourth proportional to 451,837.60, 676,978.80 and 293,984.80 is: 440,471.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,837.60 : 676,978.80 = 293,984.80 : x
  2. Step 2: Convert to fraction form
    451,837.60/676,978.80 = 293,984.80/x
  3. Step 3: Cross multiply
    451,837.60x = 676,978.80 × 293,984.80
  4. Step 4: Simplify right side
    451,837.60x = 199,021,477,122.24
  5. Step 5: Solve for x
    x = 199,021,477,122.24/451,837.60
  6. Step 6: Final answer
    x = 440,471.26

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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.