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Finding the Fourth Proportional to 294,649.81, 406,605.94 and 180,120.27

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Solution

The fourth proportional to 294,649.81, 406,605.94 and 180,120.27 is: 248,559.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,649.81 : 406,605.94 = 180,120.27 : x
  2. Step 2: Convert to fraction form
    294,649.81/406,605.94 = 180,120.27/x
  3. Step 3: Cross multiply
    294,649.81x = 406,605.94 × 180,120.27
  4. Step 4: Simplify right side
    294,649.81x = 73,237,971,696.40
  5. Step 5: Solve for x
    x = 73,237,971,696.40/294,649.81
  6. Step 6: Final answer
    x = 248,559.37

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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.