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Finding the Fourth Proportional to 279,205.80, 418,314.60 and 269,955.60

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Solution

The fourth proportional to 279,205.80, 418,314.60 and 269,955.60 is: 404,455.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,205.80 : 418,314.60 = 269,955.60 : x
  2. Step 2: Convert to fraction form
    279,205.80/418,314.60 = 269,955.60/x
  3. Step 3: Cross multiply
    279,205.80x = 418,314.60 × 269,955.60
  4. Step 4: Simplify right side
    279,205.80x = 112,926,368,831.76
  5. Step 5: Solve for x
    x = 112,926,368,831.76/279,205.80
  6. Step 6: Final answer
    x = 404,455.67

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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.