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Finding the Fourth Proportional to 301,368.20, 415,857.83 and 180,506.38

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Solution

The fourth proportional to 301,368.20, 415,857.83 and 180,506.38 is: 249,080.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,368.20 : 415,857.83 = 180,506.38 : x
  2. Step 2: Convert to fraction form
    301,368.20/415,857.83 = 180,506.38/x
  3. Step 3: Cross multiply
    301,368.20x = 415,857.83 × 180,506.38
  4. Step 4: Simplify right side
    301,368.20x = 75,064,991,487.96
  5. Step 5: Solve for x
    x = 75,064,991,487.96/301,368.20
  6. Step 6: Final answer
    x = 249,080.66

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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.