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Finding the Fourth Proportional to 477,806.64, 659,373.24 and 262,962

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Solution

The fourth proportional to 477,806.64, 659,373.24 and 262,962 is: 362,887.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,806.64 : 659,373.24 = 262,962 : x
  2. Step 2: Convert to fraction form
    477,806.64/659,373.24 = 262,962/x
  3. Step 3: Cross multiply
    477,806.64x = 659,373.24 × 262,962
  4. Step 4: Simplify right side
    477,806.64x = 173,390,105,936.88
  5. Step 5: Solve for x
    x = 173,390,105,936.88/477,806.64
  6. Step 6: Final answer
    x = 362,887.60

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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.