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Finding the Fourth Proportional to 413,951.55, 620,407.90 and 177,015.61

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Solution

The fourth proportional to 413,951.55, 620,407.90 and 177,015.61 is: 265,301.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,951.55 : 620,407.90 = 177,015.61 : x
  2. Step 2: Convert to fraction form
    413,951.55/620,407.90 = 177,015.61/x
  3. Step 3: Cross multiply
    413,951.55x = 620,407.90 × 177,015.61
  4. Step 4: Simplify right side
    413,951.55x = 109,821,882,867.32
  5. Step 5: Solve for x
    x = 109,821,882,867.32/413,951.55
  6. Step 6: Final answer
    x = 265,301.30

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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.