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Finding the Fourth Proportional to 384,420.29, 530,404.49 and 333,351.41

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Solution

The fourth proportional to 384,420.29, 530,404.49 and 333,351.41 is: 459,942.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,420.29 : 530,404.49 = 333,351.41 : x
  2. Step 2: Convert to fraction form
    384,420.29/530,404.49 = 333,351.41/x
  3. Step 3: Cross multiply
    384,420.29x = 530,404.49 × 333,351.41
  4. Step 4: Simplify right side
    384,420.29x = 176,811,082,945.07
  5. Step 5: Solve for x
    x = 176,811,082,945.07/384,420.29
  6. Step 6: Final answer
    x = 459,942.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.