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Finding the Fourth Proportional to 308,065.20, 461,320.20 and 202,311.60

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Solution

The fourth proportional to 308,065.20, 461,320.20 and 202,311.60 is: 302,956.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,065.20 : 461,320.20 = 202,311.60 : x
  2. Step 2: Convert to fraction form
    308,065.20/461,320.20 = 202,311.60/x
  3. Step 3: Cross multiply
    308,065.20x = 461,320.20 × 202,311.60
  4. Step 4: Simplify right side
    308,065.20x = 93,330,427,774.32
  5. Step 5: Solve for x
    x = 93,330,427,774.32/308,065.20
  6. Step 6: Final answer
    x = 302,956.74

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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.