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Finding the Fourth Proportional to 384,322.20, 574,928.10 and 337,666.20

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Solution

The fourth proportional to 384,322.20, 574,928.10 and 337,666.20 is: 505,132.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,322.20 : 574,928.10 = 337,666.20 : x
  2. Step 2: Convert to fraction form
    384,322.20/574,928.10 = 337,666.20/x
  3. Step 3: Cross multiply
    384,322.20x = 574,928.10 × 337,666.20
  4. Step 4: Simplify right side
    384,322.20x = 194,133,786,800.22
  5. Step 5: Solve for x
    x = 194,133,786,800.22/384,322.20
  6. Step 6: Final answer
    x = 505,132.90

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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.