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Finding the Fourth Proportional to 614,965.02, 922,475.16 and 188,469.60

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Solution

The fourth proportional to 614,965.02, 922,475.16 and 188,469.60 is: 282,712.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,965.02 : 922,475.16 = 188,469.60 : x
  2. Step 2: Convert to fraction form
    614,965.02/922,475.16 = 188,469.60/x
  3. Step 3: Cross multiply
    614,965.02x = 922,475.16 × 188,469.60
  4. Step 4: Simplify right side
    614,965.02x = 173,858,524,415.14
  5. Step 5: Solve for x
    x = 173,858,524,415.14/614,965.02
  6. Step 6: Final answer
    x = 282,712.87

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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.