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Finding the Fourth Proportional to 477,700.80, 659,219.52 and 262,827.84

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Solution

The fourth proportional to 477,700.80, 659,219.52 and 262,827.84 is: 362,698.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,700.80 : 659,219.52 = 262,827.84 : x
  2. Step 2: Convert to fraction form
    477,700.80/659,219.52 = 262,827.84/x
  3. Step 3: Cross multiply
    477,700.80x = 659,219.52 × 262,827.84
  4. Step 4: Simplify right side
    477,700.80x = 173,261,242,527.44
  5. Step 5: Solve for x
    x = 173,261,242,527.44/477,700.80
  6. Step 6: Final answer
    x = 362,698.25

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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.