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Finding the Fourth Proportional to 452,476.16, 678,072.32 and 333,212.16

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Solution

The fourth proportional to 452,476.16, 678,072.32 and 333,212.16 is: 499,345.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,476.16 : 678,072.32 = 333,212.16 : x
  2. Step 2: Convert to fraction form
    452,476.16/678,072.32 = 333,212.16/x
  3. Step 3: Cross multiply
    452,476.16x = 678,072.32 × 333,212.16
  4. Step 4: Simplify right side
    452,476.16x = 225,941,942,383.41
  5. Step 5: Solve for x
    x = 225,941,942,383.41/452,476.16
  6. Step 6: Final answer
    x = 499,345.52

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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.