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Finding the Fourth Proportional to 452,994.69, 678,013.50 and 333,019.89

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Solution

The fourth proportional to 452,994.69, 678,013.50 and 333,019.89 is: 498,442.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,994.69 : 678,013.50 = 333,019.89 : x
  2. Step 2: Convert to fraction form
    452,994.69/678,013.50 = 333,019.89/x
  3. Step 3: Cross multiply
    452,994.69x = 678,013.50 × 333,019.89
  4. Step 4: Simplify right side
    452,994.69x = 225,791,982,437.34
  5. Step 5: Solve for x
    x = 225,791,982,437.34/452,994.69
  6. Step 6: Final answer
    x = 498,442.89

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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.