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Finding the Fourth Proportional to 307,629.60, 461,225.70 and 118,016.70

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Solution

The fourth proportional to 307,629.60, 461,225.70 and 118,016.70 is: 176,941.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,629.60 : 461,225.70 = 118,016.70 : x
  2. Step 2: Convert to fraction form
    307,629.60/461,225.70 = 118,016.70/x
  3. Step 3: Cross multiply
    307,629.60x = 461,225.70 × 118,016.70
  4. Step 4: Simplify right side
    307,629.60x = 54,432,335,069.19
  5. Step 5: Solve for x
    x = 54,432,335,069.19/307,629.60
  6. Step 6: Final answer
    x = 176,941.15

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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.