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Finding the Fourth Proportional to 325,804.32, 449,609.67 and 180,619.38

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Solution

The fourth proportional to 325,804.32, 449,609.67 and 180,619.38 is: 249,254.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,804.32 : 449,609.67 = 180,619.38 : x
  2. Step 2: Convert to fraction form
    325,804.32/449,609.67 = 180,619.38/x
  3. Step 3: Cross multiply
    325,804.32x = 449,609.67 × 180,619.38
  4. Step 4: Simplify right side
    325,804.32x = 81,208,219,837.40
  5. Step 5: Solve for x
    x = 81,208,219,837.40/325,804.32
  6. Step 6: Final answer
    x = 249,254.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.