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Finding the Fourth Proportional to 383,219.80, 574,829.70 and 133,869.40

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Solution

The fourth proportional to 383,219.80, 574,829.70 and 133,869.40 is: 200,804.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,219.80 : 574,829.70 = 133,869.40 : x
  2. Step 2: Convert to fraction form
    383,219.80/574,829.70 = 133,869.40/x
  3. Step 3: Cross multiply
    383,219.80x = 574,829.70 × 133,869.40
  4. Step 4: Simplify right side
    383,219.80x = 76,952,107,041.18
  5. Step 5: Solve for x
    x = 76,952,107,041.18/383,219.80
  6. Step 6: Final answer
    x = 200,804.10

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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.