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Finding the Fourth Proportional to 409,268.10, 613,902.15 and 128,785.35

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Solution

The fourth proportional to 409,268.10, 613,902.15 and 128,785.35 is: 193,178.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,268.10 : 613,902.15 = 128,785.35 : x
  2. Step 2: Convert to fraction form
    409,268.10/613,902.15 = 128,785.35/x
  3. Step 3: Cross multiply
    409,268.10x = 613,902.15 × 128,785.35
  4. Step 4: Simplify right side
    409,268.10x = 79,061,603,253.50
  5. Step 5: Solve for x
    x = 79,061,603,253.50/409,268.10
  6. Step 6: Final answer
    x = 193,178.03

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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.