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Finding the Fourth Proportional to 409,258.80, 613,955.40 and 128,708.40

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Solution

The fourth proportional to 409,258.80, 613,955.40 and 128,708.40 is: 193,083.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,258.80 : 613,955.40 = 128,708.40 : x
  2. Step 2: Convert to fraction form
    409,258.80/613,955.40 = 128,708.40/x
  3. Step 3: Cross multiply
    409,258.80x = 613,955.40 × 128,708.40
  4. Step 4: Simplify right side
    409,258.80x = 79,021,217,205.36
  5. Step 5: Solve for x
    x = 79,021,217,205.36/409,258.80
  6. Step 6: Final answer
    x = 193,083.73

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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.