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Finding the Fourth Proportional to 470,915.22, 705,425.94 and 217,840.44

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Solution

The fourth proportional to 470,915.22, 705,425.94 and 217,840.44 is: 326,322.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,915.22 : 705,425.94 = 217,840.44 : x
  2. Step 2: Convert to fraction form
    470,915.22/705,425.94 = 217,840.44/x
  3. Step 3: Cross multiply
    470,915.22x = 705,425.94 × 217,840.44
  4. Step 4: Simplify right side
    470,915.22x = 153,670,297,157.01
  5. Step 5: Solve for x
    x = 153,670,297,157.01/470,915.22
  6. Step 6: Final answer
    x = 326,322.64

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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.