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Finding the Fourth Proportional to 408,106.40, 611,722.20 and 155,289.20

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Solution

The fourth proportional to 408,106.40, 611,722.20 and 155,289.20 is: 232,767.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,106.40 : 611,722.20 = 155,289.20 : x
  2. Step 2: Convert to fraction form
    408,106.40/611,722.20 = 155,289.20/x
  3. Step 3: Cross multiply
    408,106.40x = 611,722.20 × 155,289.20
  4. Step 4: Simplify right side
    408,106.40x = 94,993,851,060.24
  5. Step 5: Solve for x
    x = 94,993,851,060.24/408,106.40
  6. Step 6: Final answer
    x = 232,767.36

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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.