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Finding the Fourth Proportional to 513,604.10, 709,000.68 and 306,945.44

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Solution

The fourth proportional to 513,604.10, 709,000.68 and 306,945.44 is: 423,720.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,604.10 : 709,000.68 = 306,945.44 : x
  2. Step 2: Convert to fraction form
    513,604.10/709,000.68 = 306,945.44/x
  3. Step 3: Cross multiply
    513,604.10x = 709,000.68 × 306,945.44
  4. Step 4: Simplify right side
    513,604.10x = 217,624,525,682.90
  5. Step 5: Solve for x
    x = 217,624,525,682.90/513,604.10
  6. Step 6: Final answer
    x = 423,720.38

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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.