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Finding the Fourth Proportional to 390,163.39, 585,300.83 and 120,314.32

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Solution

The fourth proportional to 390,163.39, 585,300.83 and 120,314.32 is: 180,488.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,163.39 : 585,300.83 = 120,314.32 : x
  2. Step 2: Convert to fraction form
    390,163.39/585,300.83 = 120,314.32/x
  3. Step 3: Cross multiply
    390,163.39x = 585,300.83 × 120,314.32
  4. Step 4: Simplify right side
    390,163.39x = 70,420,069,292.06
  5. Step 5: Solve for x
    x = 70,420,069,292.06/390,163.39
  6. Step 6: Final answer
    x = 180,488.67

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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.