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Finding the Fourth Proportional to 452,477.16, 678,073.82 and 333,213.16

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Solution

The fourth proportional to 452,477.16, 678,073.82 and 333,213.16 is: 499,347.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,477.16 : 678,073.82 = 333,213.16 : x
  2. Step 2: Convert to fraction form
    452,477.16/678,073.82 = 333,213.16/x
  3. Step 3: Cross multiply
    452,477.16x = 678,073.82 × 333,213.16
  4. Step 4: Simplify right side
    452,477.16x = 225,943,120,275.47
  5. Step 5: Solve for x
    x = 225,943,120,275.47/452,477.16
  6. Step 6: Final answer
    x = 499,347.02

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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.