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Finding the Fourth Proportional to 301,343.06, 415,838.94 and 180,489.44

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Solution

The fourth proportional to 301,343.06, 415,838.94 and 180,489.44 is: 249,066.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,343.06 : 415,838.94 = 180,489.44 : x
  2. Step 2: Convert to fraction form
    301,343.06/415,838.94 = 180,489.44/x
  3. Step 3: Cross multiply
    301,343.06x = 415,838.94 × 180,489.44
  4. Step 4: Simplify right side
    301,343.06x = 75,054,537,410.79
  5. Step 5: Solve for x
    x = 75,054,537,410.79/301,343.06
  6. Step 6: Final answer
    x = 249,066.75

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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.