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Finding the Fourth Proportional to 301,412.34, 415,877.49 and 194,017.14

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Solution

The fourth proportional to 301,412.34, 415,877.49 and 194,017.14 is: 267,697.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,412.34 : 415,877.49 = 194,017.14 : x
  2. Step 2: Convert to fraction form
    301,412.34/415,877.49 = 194,017.14/x
  3. Step 3: Cross multiply
    301,412.34x = 415,877.49 × 194,017.14
  4. Step 4: Simplify right side
    301,412.34x = 80,687,361,200.18
  5. Step 5: Solve for x
    x = 80,687,361,200.18/301,412.34
  6. Step 6: Final answer
    x = 267,697.60

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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.