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Finding the Fourth Proportional to 477,782.40, 659,313.12 and 262,887.52

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Solution

The fourth proportional to 477,782.40, 659,313.12 and 262,887.52 is: 362,770.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,782.40 : 659,313.12 = 262,887.52 : x
  2. Step 2: Convert to fraction form
    477,782.40/659,313.12 = 262,887.52/x
  3. Step 3: Cross multiply
    477,782.40x = 659,313.12 × 262,887.52
  4. Step 4: Simplify right side
    477,782.40x = 173,325,191,020.26
  5. Step 5: Solve for x
    x = 173,325,191,020.26/477,782.40
  6. Step 6: Final answer
    x = 362,770.15

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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.