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Finding the Fourth Proportional to 398,455.63, 597,507.56 and 114,081.64

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Solution

The fourth proportional to 398,455.63, 597,507.56 and 114,081.64 is: 171,072.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,455.63 : 597,507.56 = 114,081.64 : x
  2. Step 2: Convert to fraction form
    398,455.63/597,507.56 = 114,081.64/x
  3. Step 3: Cross multiply
    398,455.63x = 597,507.56 × 114,081.64
  4. Step 4: Simplify right side
    398,455.63x = 68,164,642,722.17
  5. Step 5: Solve for x
    x = 68,164,642,722.17/398,455.63
  6. Step 6: Final answer
    x = 171,072.10

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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.