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Finding the Fourth Proportional to 295,798.40, 443,438.40 and 177,516.80

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Solution

The fourth proportional to 295,798.40, 443,438.40 and 177,516.80 is: 266,119.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,798.40 : 443,438.40 = 177,516.80 : x
  2. Step 2: Convert to fraction form
    295,798.40/443,438.40 = 177,516.80/x
  3. Step 3: Cross multiply
    295,798.40x = 443,438.40 × 177,516.80
  4. Step 4: Simplify right side
    295,798.40x = 78,717,765,765.12
  5. Step 5: Solve for x
    x = 78,717,765,765.12/295,798.40
  6. Step 6: Final answer
    x = 266,119.65

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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.