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Finding the Fourth Proportional to 701,196.90, 967,719.78 and 414,809.16

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Solution

The fourth proportional to 701,196.90, 967,719.78 and 414,809.16 is: 572,476.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,196.90 : 967,719.78 = 414,809.16 : x
  2. Step 2: Convert to fraction form
    701,196.90/967,719.78 = 414,809.16/x
  3. Step 3: Cross multiply
    701,196.90x = 967,719.78 × 414,809.16
  4. Step 4: Simplify right side
    701,196.90x = 401,419,029,057.19
  5. Step 5: Solve for x
    x = 401,419,029,057.19/701,196.90
  6. Step 6: Final answer
    x = 572,476.90

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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.