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Finding the Fourth Proportional to 477,768.32, 659,335.92 and 262,923.92

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Solution

The fourth proportional to 477,768.32, 659,335.92 and 262,923.92 is: 362,843.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,768.32 : 659,335.92 = 262,923.92 : x
  2. Step 2: Convert to fraction form
    477,768.32/659,335.92 = 262,923.92/x
  3. Step 3: Cross multiply
    477,768.32x = 659,335.92 × 262,923.92
  4. Step 4: Simplify right side
    477,768.32x = 173,355,184,683.21
  5. Step 5: Solve for x
    x = 173,355,184,683.21/477,768.32
  6. Step 6: Final answer
    x = 362,843.62

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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.