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Finding the Fourth Proportional to 265,406.30, 398,107.01 and 107,597.24

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Solution

The fourth proportional to 265,406.30, 398,107.01 and 107,597.24 is: 161,394.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,406.30 : 398,107.01 = 107,597.24 : x
  2. Step 2: Convert to fraction form
    265,406.30/398,107.01 = 107,597.24/x
  3. Step 3: Cross multiply
    265,406.30x = 398,107.01 × 107,597.24
  4. Step 4: Simplify right side
    265,406.30x = 42,835,213,510.12
  5. Step 5: Solve for x
    x = 42,835,213,510.12/265,406.30
  6. Step 6: Final answer
    x = 161,394.87

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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.