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Finding the Fourth Proportional to 294,269.80, 441,404.70 and 189,207.40

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Solution

The fourth proportional to 294,269.80, 441,404.70 and 189,207.40 is: 283,811.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,269.80 : 441,404.70 = 189,207.40 : x
  2. Step 2: Convert to fraction form
    294,269.80/441,404.70 = 189,207.40/x
  3. Step 3: Cross multiply
    294,269.80x = 441,404.70 × 189,207.40
  4. Step 4: Simplify right side
    294,269.80x = 83,517,035,634.78
  5. Step 5: Solve for x
    x = 83,517,035,634.78/294,269.80
  6. Step 6: Final answer
    x = 283,811.10

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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.