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Finding the Fourth Proportional to 398,466.96, 597,698.84 and 117,961.36

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Solution

The fourth proportional to 398,466.96, 597,698.84 and 117,961.36 is: 176,941.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,466.96 : 597,698.84 = 117,961.36 : x
  2. Step 2: Convert to fraction form
    398,466.96/597,698.84 = 117,961.36/x
  3. Step 3: Cross multiply
    398,466.96x = 597,698.84 × 117,961.36
  4. Step 4: Simplify right side
    398,466.96x = 70,505,368,036.82
  5. Step 5: Solve for x
    x = 70,505,368,036.82/398,466.96
  6. Step 6: Final answer
    x = 176,941.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.