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Finding the Fourth Proportional to 453,440.40, 680,186.20 and 137,907.60

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Solution

The fourth proportional to 453,440.40, 680,186.20 and 137,907.60 is: 206,869.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,440.40 : 680,186.20 = 137,907.60 : x
  2. Step 2: Convert to fraction form
    453,440.40/680,186.20 = 137,907.60/x
  3. Step 3: Cross multiply
    453,440.40x = 680,186.20 × 137,907.60
  4. Step 4: Simplify right side
    453,440.40x = 93,802,846,395.12
  5. Step 5: Solve for x
    x = 93,802,846,395.12/453,440.40
  6. Step 6: Final answer
    x = 206,869.19

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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.