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Finding the Fourth Proportional to 333,760.74, 499,766.22 and 228,784.74

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Solution

The fourth proportional to 333,760.74, 499,766.22 and 228,784.74 is: 342,577.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,760.74 : 499,766.22 = 228,784.74 : x
  2. Step 2: Convert to fraction form
    333,760.74/499,766.22 = 228,784.74/x
  3. Step 3: Cross multiply
    333,760.74x = 499,766.22 × 228,784.74
  4. Step 4: Simplify right side
    333,760.74x = 114,338,884,703.48
  5. Step 5: Solve for x
    x = 114,338,884,703.48/333,760.74
  6. Step 6: Final answer
    x = 342,577.39

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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.