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Finding the Fourth Proportional to 604,698, 834,462.31 and 332,740.47

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Solution

The fourth proportional to 604,698, 834,462.31 and 332,740.47 is: 459,170.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,698 : 834,462.31 = 332,740.47 : x
  2. Step 2: Convert to fraction form
    604,698/834,462.31 = 332,740.47/x
  3. Step 3: Cross multiply
    604,698x = 834,462.31 × 332,740.47
  4. Step 4: Simplify right side
    604,698x = 277,659,381,226.69
  5. Step 5: Solve for x
    x = 277,659,381,226.69/604,698
  6. Step 6: Final answer
    x = 459,170.33

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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.