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Finding the Fourth Proportional to 477,921.32, 659,506.32 and 263,020.31

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Solution

The fourth proportional to 477,921.32, 659,506.32 and 263,020.31 is: 362,954.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,921.32 : 659,506.32 = 263,020.31 : x
  2. Step 2: Convert to fraction form
    477,921.32/659,506.32 = 263,020.31/x
  3. Step 3: Cross multiply
    477,921.32x = 659,506.32 × 263,020.31
  4. Step 4: Simplify right side
    477,921.32x = 173,463,553,435.83
  5. Step 5: Solve for x
    x = 173,463,553,435.83/477,921.32
  6. Step 6: Final answer
    x = 362,954.21

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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.