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Finding the Fourth Proportional to 460,447.94, 691,143.21 and 380,230.32

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Solution

The fourth proportional to 460,447.94, 691,143.21 and 380,230.32 is: 570,734.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,447.94 : 691,143.21 = 380,230.32 : x
  2. Step 2: Convert to fraction form
    460,447.94/691,143.21 = 380,230.32/x
  3. Step 3: Cross multiply
    460,447.94x = 691,143.21 × 380,230.32
  4. Step 4: Simplify right side
    460,447.94x = 262,793,603,904.13
  5. Step 5: Solve for x
    x = 262,793,603,904.13/460,447.94
  6. Step 6: Final answer
    x = 570,734.67

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1.5x scale

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.