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Finding the Fourth Proportional to 398,718.98, 597,996.89 and 114,333.33

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Solution

The fourth proportional to 398,718.98, 597,996.89 and 114,333.33 is: 171,476.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,718.98 : 597,996.89 = 114,333.33 : x
  2. Step 2: Convert to fraction form
    398,718.98/597,996.89 = 114,333.33/x
  3. Step 3: Cross multiply
    398,718.98x = 597,996.89 × 114,333.33
  4. Step 4: Simplify right side
    398,718.98x = 68,370,975,763.34
  5. Step 5: Solve for x
    x = 68,370,975,763.34/398,718.98
  6. Step 6: Final answer
    x = 171,476.60

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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.