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Finding the Fourth Proportional to 410,730.40, 616,086.96 and 189,114.40

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Solution

The fourth proportional to 410,730.40, 616,086.96 and 189,114.40 is: 283,667.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,730.40 : 616,086.96 = 189,114.40 : x
  2. Step 2: Convert to fraction form
    410,730.40/616,086.96 = 189,114.40/x
  3. Step 3: Cross multiply
    410,730.40x = 616,086.96 × 189,114.40
  4. Step 4: Simplify right side
    410,730.40x = 116,510,915,788.22
  5. Step 5: Solve for x
    x = 116,510,915,788.22/410,730.40
  6. Step 6: Final answer
    x = 283,667.62

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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.