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Finding the Fourth Proportional to 594,611.50, 820,564.40 and 322,679.40

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Solution

The fourth proportional to 594,611.50, 820,564.40 and 322,679.40 is: 445,297.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,611.50 : 820,564.40 = 322,679.40 : x
  2. Step 2: Convert to fraction form
    594,611.50/820,564.40 = 322,679.40/x
  3. Step 3: Cross multiply
    594,611.50x = 820,564.40 × 322,679.40
  4. Step 4: Simplify right side
    594,611.50x = 264,779,228,253.36
  5. Step 5: Solve for x
    x = 264,779,228,253.36/594,611.50
  6. Step 6: Final answer
    x = 445,297.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.