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Finding the Fourth Proportional to 293,610.60, 440,432.64 and 83,232

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Solution

The fourth proportional to 293,610.60, 440,432.64 and 83,232 is: 124,852.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,610.60 : 440,432.64 = 83,232 : x
  2. Step 2: Convert to fraction form
    293,610.60/440,432.64 = 83,232/x
  3. Step 3: Cross multiply
    293,610.60x = 440,432.64 × 83,232
  4. Step 4: Simplify right side
    293,610.60x = 36,658,089,492.48
  5. Step 5: Solve for x
    x = 36,658,089,492.48/293,610.60
  6. Step 6: Final answer
    x = 124,852.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.