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Finding the Fourth Proportional to 361,984.95, 499,611.92 and 209,048.04

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Solution

The fourth proportional to 361,984.95, 499,611.92 and 209,048.04 is: 288,528.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,984.95 : 499,611.92 = 209,048.04 : x
  2. Step 2: Convert to fraction form
    361,984.95/499,611.92 = 209,048.04/x
  3. Step 3: Cross multiply
    361,984.95x = 499,611.92 × 209,048.04
  4. Step 4: Simplify right side
    361,984.95x = 104,442,891,591.40
  5. Step 5: Solve for x
    x = 104,442,891,591.40/361,984.95
  6. Step 6: Final answer
    x = 288,528.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.