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Finding the Fourth Proportional to 408,050.40, 611,648.52 and 155,172.84

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Solution

The fourth proportional to 408,050.40, 611,648.52 and 155,172.84 is: 232,596.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,050.40 : 611,648.52 = 155,172.84 : x
  2. Step 2: Convert to fraction form
    408,050.40/611,648.52 = 155,172.84/x
  3. Step 3: Cross multiply
    408,050.40x = 611,648.52 × 155,172.84
  4. Step 4: Simplify right side
    408,050.40x = 94,911,237,930.20
  5. Step 5: Solve for x
    x = 94,911,237,930.20/408,050.40
  6. Step 6: Final answer
    x = 232,596.85

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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.