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Finding the Fourth Proportional to 497,319.80, 746,076.90 and 213,009.80

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Solution

The fourth proportional to 497,319.80, 746,076.90 and 213,009.80 is: 319,556.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,319.80 : 746,076.90 = 213,009.80 : x
  2. Step 2: Convert to fraction form
    497,319.80/746,076.90 = 213,009.80/x
  3. Step 3: Cross multiply
    497,319.80x = 746,076.90 × 213,009.80
  4. Step 4: Simplify right side
    497,319.80x = 158,921,691,253.62
  5. Step 5: Solve for x
    x = 158,921,691,253.62/497,319.80
  6. Step 6: Final answer
    x = 319,556.33

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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.