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Finding the Fourth Proportional to 452,991.40, 678,008.54 and 333,016.58

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Solution

The fourth proportional to 452,991.40, 678,008.54 and 333,016.58 is: 498,437.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,991.40 : 678,008.54 = 333,016.58 : x
  2. Step 2: Convert to fraction form
    452,991.40/678,008.54 = 333,016.58/x
  3. Step 3: Cross multiply
    452,991.40x = 678,008.54 × 333,016.58
  4. Step 4: Simplify right side
    452,991.40x = 225,788,087,729.16
  5. Step 5: Solve for x
    x = 225,788,087,729.16/452,991.40
  6. Step 6: Final answer
    x = 498,437.92

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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.