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Finding the Fourth Proportional to 312,630.81, 469,573.96 and 186,517.46

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Solution

The fourth proportional to 312,630.81, 469,573.96 and 186,517.46 is: 280,150.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,630.81 : 469,573.96 = 186,517.46 : x
  2. Step 2: Convert to fraction form
    312,630.81/469,573.96 = 186,517.46/x
  3. Step 3: Cross multiply
    312,630.81x = 469,573.96 × 186,517.46
  4. Step 4: Simplify right side
    312,630.81x = 87,583,742,038.03
  5. Step 5: Solve for x
    x = 87,583,742,038.03/312,630.81
  6. Step 6: Final answer
    x = 280,150.70

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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.