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Finding the Fourth Proportional to 333,023.40, 499,403.60 and 133,306.56

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Solution

The fourth proportional to 333,023.40, 499,403.60 and 133,306.56 is: 199,907.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,023.40 : 499,403.60 = 133,306.56 : x
  2. Step 2: Convert to fraction form
    333,023.40/499,403.60 = 133,306.56/x
  3. Step 3: Cross multiply
    333,023.40x = 499,403.60 × 133,306.56
  4. Step 4: Simplify right side
    333,023.40x = 66,573,773,470.60
  5. Step 5: Solve for x
    x = 66,573,773,470.60/333,023.40
  6. Step 6: Final answer
    x = 199,907.20

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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.