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Finding the Fourth Proportional to 295,289.70, 442,934.55 and 206,643.30

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Solution

The fourth proportional to 295,289.70, 442,934.55 and 206,643.30 is: 309,964.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,289.70 : 442,934.55 = 206,643.30 : x
  2. Step 2: Convert to fraction form
    295,289.70/442,934.55 = 206,643.30/x
  3. Step 3: Cross multiply
    295,289.70x = 442,934.55 × 206,643.30
  4. Step 4: Simplify right side
    295,289.70x = 91,529,457,096.02
  5. Step 5: Solve for x
    x = 91,529,457,096.02/295,289.70
  6. Step 6: Final answer
    x = 309,964.95

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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.