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Finding the Fourth Proportional to 412,841, 619,365.54 and 117,353

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Solution

The fourth proportional to 412,841, 619,365.54 and 117,353 is: 176,059.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,841 : 619,365.54 = 117,353 : x
  2. Step 2: Convert to fraction form
    412,841/619,365.54 = 117,353/x
  3. Step 3: Cross multiply
    412,841x = 619,365.54 × 117,353
  4. Step 4: Simplify right side
    412,841x = 72,684,404,215.62
  5. Step 5: Solve for x
    x = 72,684,404,215.62/412,841
  6. Step 6: Final answer
    x = 176,059.07

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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.