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Finding the Fourth Proportional to 619,091.47, 854,390.06 and 343,539.46

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Solution

The fourth proportional to 619,091.47, 854,390.06 and 343,539.46 is: 474,108.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,091.47 : 854,390.06 = 343,539.46 : x
  2. Step 2: Convert to fraction form
    619,091.47/854,390.06 = 343,539.46/x
  3. Step 3: Cross multiply
    619,091.47x = 854,390.06 × 343,539.46
  4. Step 4: Simplify right side
    619,091.47x = 293,516,699,841.77
  5. Step 5: Solve for x
    x = 293,516,699,841.77/619,091.47
  6. Step 6: Final answer
    x = 474,108.78

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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.