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Finding the Fourth Proportional to 614,016.82, 916,707.90 and 469,164.54

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Solution

The fourth proportional to 614,016.82, 916,707.90 and 469,164.54 is: 700,447.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,016.82 : 916,707.90 = 469,164.54 : x
  2. Step 2: Convert to fraction form
    614,016.82/916,707.90 = 469,164.54/x
  3. Step 3: Cross multiply
    614,016.82x = 916,707.90 × 469,164.54
  4. Step 4: Simplify right side
    614,016.82x = 430,086,840,217.87
  5. Step 5: Solve for x
    x = 430,086,840,217.87/614,016.82
  6. Step 6: Final answer
    x = 700,447.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.