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Finding the Fourth Proportional to 384,900.80, 577,364.40 and 118,659.20

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Solution

The fourth proportional to 384,900.80, 577,364.40 and 118,659.20 is: 177,992.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,900.80 : 577,364.40 = 118,659.20 : x
  2. Step 2: Convert to fraction form
    384,900.80/577,364.40 = 118,659.20/x
  3. Step 3: Cross multiply
    384,900.80x = 577,364.40 × 118,659.20
  4. Step 4: Simplify right side
    384,900.80x = 68,509,597,812.48
  5. Step 5: Solve for x
    x = 68,509,597,812.48/384,900.80
  6. Step 6: Final answer
    x = 177,992.87

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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.