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Finding the Fourth Proportional to 384,003.40, 575,313.90 and 328,707.40

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Solution

The fourth proportional to 384,003.40, 575,313.90 and 328,707.40 is: 492,469.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,003.40 : 575,313.90 = 328,707.40 : x
  2. Step 2: Convert to fraction form
    384,003.40/575,313.90 = 328,707.40/x
  3. Step 3: Cross multiply
    384,003.40x = 575,313.90 × 328,707.40
  4. Step 4: Simplify right side
    384,003.40x = 189,109,936,252.86
  5. Step 5: Solve for x
    x = 189,109,936,252.86/384,003.40
  6. Step 6: Final answer
    x = 492,469.43

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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.