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Finding the Fourth Proportional to 307,246.40, 460,869.60 and 188,532.80

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Solution

The fourth proportional to 307,246.40, 460,869.60 and 188,532.80 is: 282,799.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,246.40 : 460,869.60 = 188,532.80 : x
  2. Step 2: Convert to fraction form
    307,246.40/460,869.60 = 188,532.80/x
  3. Step 3: Cross multiply
    307,246.40x = 460,869.60 × 188,532.80
  4. Step 4: Simplify right side
    307,246.40x = 86,889,036,122.88
  5. Step 5: Solve for x
    x = 86,889,036,122.88/307,246.40
  6. Step 6: Final answer
    x = 282,799.20

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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.