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Finding the Fourth Proportional to 477,896.90, 659,492.57 and 263,032.32

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Solution

The fourth proportional to 477,896.90, 659,492.57 and 263,032.32 is: 362,981.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,896.90 : 659,492.57 = 263,032.32 : x
  2. Step 2: Convert to fraction form
    477,896.90/659,492.57 = 263,032.32/x
  3. Step 3: Cross multiply
    477,896.90x = 659,492.57 × 263,032.32
  4. Step 4: Simplify right side
    477,896.90x = 173,467,861,367.44
  5. Step 5: Solve for x
    x = 173,467,861,367.44/477,896.90
  6. Step 6: Final answer
    x = 362,981.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.