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Finding the Fourth Proportional to 265,409.94, 398,242.38 and 165,544.50

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Solution

The fourth proportional to 265,409.94, 398,242.38 and 165,544.50 is: 248,396.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,409.94 : 398,242.38 = 165,544.50 : x
  2. Step 2: Convert to fraction form
    265,409.94/398,242.38 = 165,544.50/x
  3. Step 3: Cross multiply
    265,409.94x = 398,242.38 × 165,544.50
  4. Step 4: Simplify right side
    265,409.94x = 65,926,835,675.91
  5. Step 5: Solve for x
    x = 65,926,835,675.91/265,409.94
  6. Step 6: Final answer
    x = 248,396.26

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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.