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Finding the Fourth Proportional to 301,487.68, 415,934.56 and 180,634.04

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Solution

The fourth proportional to 301,487.68, 415,934.56 and 180,634.04 is: 249,204.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,487.68 : 415,934.56 = 180,634.04 : x
  2. Step 2: Convert to fraction form
    301,487.68/415,934.56 = 180,634.04/x
  3. Step 3: Cross multiply
    301,487.68x = 415,934.56 × 180,634.04
  4. Step 4: Simplify right side
    301,487.68x = 75,131,939,948.42
  5. Step 5: Solve for x
    x = 75,131,939,948.42/301,487.68
  6. Step 6: Final answer
    x = 249,204.01

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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.