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Finding the Fourth Proportional to 491,076.40, 735,923.40 and 363,722.80

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Solution

The fourth proportional to 491,076.40, 735,923.40 and 363,722.80 is: 545,072.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,076.40 : 735,923.40 = 363,722.80 : x
  2. Step 2: Convert to fraction form
    491,076.40/735,923.40 = 363,722.80/x
  3. Step 3: Cross multiply
    491,076.40x = 735,923.40 × 363,722.80
  4. Step 4: Simplify right side
    491,076.40x = 267,672,119,633.52
  5. Step 5: Solve for x
    x = 267,672,119,633.52/491,076.40
  6. Step 6: Final answer
    x = 545,072.25

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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.