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Finding the Fourth Proportional to 477,906.86, 659,506.25 and 263,042.30

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Solution

The fourth proportional to 477,906.86, 659,506.25 and 263,042.30 is: 362,995.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,906.86 : 659,506.25 = 263,042.30 : x
  2. Step 2: Convert to fraction form
    477,906.86/659,506.25 = 263,042.30/x
  3. Step 3: Cross multiply
    477,906.86x = 659,506.25 × 263,042.30
  4. Step 4: Simplify right side
    477,906.86x = 173,478,039,549.16
  5. Step 5: Solve for x
    x = 173,478,039,549.16/477,906.86
  6. Step 6: Final answer
    x = 362,995.50

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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.