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Finding the Fourth Proportional to 360,812.64, 541,207.76 and 171,409.32

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Solution

The fourth proportional to 360,812.64, 541,207.76 and 171,409.32 is: 257,108.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,812.64 : 541,207.76 = 171,409.32 : x
  2. Step 2: Convert to fraction form
    360,812.64/541,207.76 = 171,409.32/x
  3. Step 3: Cross multiply
    360,812.64x = 541,207.76 × 171,409.32
  4. Step 4: Simplify right side
    360,812.64x = 92,768,054,120.32
  5. Step 5: Solve for x
    x = 92,768,054,120.32/360,812.64
  6. Step 6: Final answer
    x = 257,108.66

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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.