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Finding the Fourth Proportional to 332,564.60, 497,810.10 and 322,196.60

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Solution

The fourth proportional to 332,564.60, 497,810.10 and 322,196.60 is: 482,290.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,564.60 : 497,810.10 = 322,196.60 : x
  2. Step 2: Convert to fraction form
    332,564.60/497,810.10 = 322,196.60/x
  3. Step 3: Cross multiply
    332,564.60x = 497,810.10 × 322,196.60
  4. Step 4: Simplify right side
    332,564.60x = 160,392,721,665.66
  5. Step 5: Solve for x
    x = 160,392,721,665.66/332,564.60
  6. Step 6: Final answer
    x = 482,290.42

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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.