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Finding the Fourth Proportional to 470,773.44, 649,670.40 and 255,915.36

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Solution

The fourth proportional to 470,773.44, 649,670.40 and 255,915.36 is: 353,164.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,773.44 : 649,670.40 = 255,915.36 : x
  2. Step 2: Convert to fraction form
    470,773.44/649,670.40 = 255,915.36/x
  3. Step 3: Cross multiply
    470,773.44x = 649,670.40 × 255,915.36
  4. Step 4: Simplify right side
    470,773.44x = 166,260,634,297.34
  5. Step 5: Solve for x
    x = 166,260,634,297.34/470,773.44
  6. Step 6: Final answer
    x = 353,164.86

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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.