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Finding the Fourth Proportional to 309,730.56, 464,594.40 and 204,524.40

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Solution

The fourth proportional to 309,730.56, 464,594.40 and 204,524.40 is: 306,785.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,730.56 : 464,594.40 = 204,524.40 : x
  2. Step 2: Convert to fraction form
    309,730.56/464,594.40 = 204,524.40/x
  3. Step 3: Cross multiply
    309,730.56x = 464,594.40 × 204,524.40
  4. Step 4: Simplify right side
    309,730.56x = 95,020,890,903.36
  5. Step 5: Solve for x
    x = 95,020,890,903.36/309,730.56
  6. Step 6: Final answer
    x = 306,785.65

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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.