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Finding the Fourth Proportional to 477,897.66, 659,493.60 and 263,033.07

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Solution

The fourth proportional to 477,897.66, 659,493.60 and 263,033.07 is: 362,982.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,897.66 : 659,493.60 = 263,033.07 : x
  2. Step 2: Convert to fraction form
    477,897.66/659,493.60 = 263,033.07/x
  3. Step 3: Cross multiply
    477,897.66x = 659,493.60 × 263,033.07
  4. Step 4: Simplify right side
    477,897.66x = 173,468,626,253.35
  5. Step 5: Solve for x
    x = 173,468,626,253.35/477,897.66
  6. Step 6: Final answer
    x = 362,982.79

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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.