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Finding the Fourth Proportional to 398,301.37, 597,539.54 and 117,796.75

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Solution

The fourth proportional to 398,301.37, 597,539.54 and 117,796.75 is: 176,721.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,301.37 : 597,539.54 = 117,796.75 : x
  2. Step 2: Convert to fraction form
    398,301.37/597,539.54 = 117,796.75/x
  3. Step 3: Cross multiply
    398,301.37x = 597,539.54 × 117,796.75
  4. Step 4: Simplify right side
    398,301.37x = 70,388,215,219.51
  5. Step 5: Solve for x
    x = 70,388,215,219.51/398,301.37
  6. Step 6: Final answer
    x = 176,721.00

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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.