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Finding the Fourth Proportional to 476,064, 656,968.32 and 264,096

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Solution

The fourth proportional to 476,064, 656,968.32 and 264,096 is: 364,452.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,064 : 656,968.32 = 264,096 : x
  2. Step 2: Convert to fraction form
    476,064/656,968.32 = 264,096/x
  3. Step 3: Cross multiply
    476,064x = 656,968.32 × 264,096
  4. Step 4: Simplify right side
    476,064x = 173,502,705,438.72
  5. Step 5: Solve for x
    x = 173,502,705,438.72/476,064
  6. Step 6: Final answer
    x = 364,452.48

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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.