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Finding the Fourth Proportional to 314,039.84, 471,048.62 and 89,401.46

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Solution

The fourth proportional to 314,039.84, 471,048.62 and 89,401.46 is: 134,099.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,039.84 : 471,048.62 = 89,401.46 : x
  2. Step 2: Convert to fraction form
    314,039.84/471,048.62 = 89,401.46/x
  3. Step 3: Cross multiply
    314,039.84x = 471,048.62 × 89,401.46
  4. Step 4: Simplify right side
    314,039.84x = 42,112,431,556.73
  5. Step 5: Solve for x
    x = 42,112,431,556.73/314,039.84
  6. Step 6: Final answer
    x = 134,099.01

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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.