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Finding the Fourth Proportional to 452,993.40, 678,011.54 and 333,018.58

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Solution

The fourth proportional to 452,993.40, 678,011.54 and 333,018.58 is: 498,440.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,993.40 : 678,011.54 = 333,018.58 : x
  2. Step 2: Convert to fraction form
    452,993.40/678,011.54 = 333,018.58/x
  3. Step 3: Cross multiply
    452,993.40x = 678,011.54 × 333,018.58
  4. Step 4: Simplify right side
    452,993.40x = 225,790,440,274.41
  5. Step 5: Solve for x
    x = 225,790,440,274.41/452,993.40
  6. Step 6: Final answer
    x = 498,440.91

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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.