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Finding the Fourth Proportional to 409,133.20, 613,123.80 and 325,037.20

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Solution

The fourth proportional to 409,133.20, 613,123.80 and 325,037.20 is: 487,098.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,133.20 : 613,123.80 = 325,037.20 : x
  2. Step 2: Convert to fraction form
    409,133.20/613,123.80 = 325,037.20/x
  3. Step 3: Cross multiply
    409,133.20x = 613,123.80 × 325,037.20
  4. Step 4: Simplify right side
    409,133.20x = 199,288,043,205.36
  5. Step 5: Solve for x
    x = 199,288,043,205.36/409,133.20
  6. Step 6: Final answer
    x = 487,098.19

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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.