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Finding the Fourth Proportional to 412,158.54, 621,416.28 and 409,599.75

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Solution

The fourth proportional to 412,158.54, 621,416.28 and 409,599.75 is: 617,558.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,158.54 : 621,416.28 = 409,599.75 : x
  2. Step 2: Convert to fraction form
    412,158.54/621,416.28 = 409,599.75/x
  3. Step 3: Cross multiply
    412,158.54x = 621,416.28 × 409,599.75
  4. Step 4: Simplify right side
    412,158.54x = 254,531,952,933.93
  5. Step 5: Solve for x
    x = 254,531,952,933.93/412,158.54
  6. Step 6: Final answer
    x = 617,558.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.