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Finding the Fourth Proportional to 701,169.16, 967,690.34 and 406,883.72

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Solution

The fourth proportional to 701,169.16, 967,690.34 and 406,883.72 is: 561,544.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,169.16 : 967,690.34 = 406,883.72 : x
  2. Step 2: Convert to fraction form
    701,169.16/967,690.34 = 406,883.72/x
  3. Step 3: Cross multiply
    701,169.16x = 967,690.34 × 406,883.72
  4. Step 4: Simplify right side
    701,169.16x = 393,737,445,347.27
  5. Step 5: Solve for x
    x = 393,737,445,347.27/701,169.16
  6. Step 6: Final answer
    x = 561,544.16

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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.