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Finding the Fourth Proportional to 295,709.40, 443,564.10 and 118,343.70

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Solution

The fourth proportional to 295,709.40, 443,564.10 and 118,343.70 is: 177,515.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,709.40 : 443,564.10 = 118,343.70 : x
  2. Step 2: Convert to fraction form
    295,709.40/443,564.10 = 118,343.70/x
  3. Step 3: Cross multiply
    295,709.40x = 443,564.10 × 118,343.70
  4. Step 4: Simplify right side
    295,709.40x = 52,493,016,781.17
  5. Step 5: Solve for x
    x = 52,493,016,781.17/295,709.40
  6. Step 6: Final answer
    x = 177,515.55

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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.