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Finding the Fourth Proportional to 934,658, 1,289,828.04 and 510,722

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Solution

The fourth proportional to 934,658, 1,289,828.04 and 510,722 is: 704,796.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,658 : 1,289,828.04 = 510,722 : x
  2. Step 2: Convert to fraction form
    934,658/1,289,828.04 = 510,722/x
  3. Step 3: Cross multiply
    934,658x = 1,289,828.04 × 510,722
  4. Step 4: Simplify right side
    934,658x = 658,743,556,244.88
  5. Step 5: Solve for x
    x = 658,743,556,244.88/934,658
  6. Step 6: Final answer
    x = 704,796.36

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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.