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Finding the Fourth Proportional to 412,860, 619,394.08 and 117,372

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Solution

The fourth proportional to 412,860, 619,394.08 and 117,372 is: 176,087.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,860 : 619,394.08 = 117,372 : x
  2. Step 2: Convert to fraction form
    412,860/619,394.08 = 117,372/x
  3. Step 3: Cross multiply
    412,860x = 619,394.08 × 117,372
  4. Step 4: Simplify right side
    412,860x = 72,699,521,957.76
  5. Step 5: Solve for x
    x = 72,699,521,957.76/412,860
  6. Step 6: Final answer
    x = 176,087.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.