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Finding the Fourth Proportional to 460,446.94, 691,141.71 and 380,229.32

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Solution

The fourth proportional to 460,446.94, 691,141.71 and 380,229.32 is: 570,733.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,446.94 : 691,141.71 = 380,229.32 : x
  2. Step 2: Convert to fraction form
    460,446.94/691,141.71 = 380,229.32/x
  3. Step 3: Cross multiply
    460,446.94x = 691,141.71 × 380,229.32
  4. Step 4: Simplify right side
    460,446.94x = 262,792,342,416.94
  5. Step 5: Solve for x
    x = 262,792,342,416.94/460,446.94
  6. Step 6: Final answer
    x = 570,733.17

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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.