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Finding the Fourth Proportional to 701,197.90, 967,721.16 and 414,810.16

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Solution

The fourth proportional to 701,197.90, 967,721.16 and 414,810.16 is: 572,478.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,197.90 : 967,721.16 = 414,810.16 : x
  2. Step 2: Convert to fraction form
    701,197.90/967,721.16 = 414,810.16/x
  3. Step 3: Cross multiply
    701,197.90x = 967,721.16 × 414,810.16
  4. Step 4: Simplify right side
    701,197.90x = 401,420,569,214.99
  5. Step 5: Solve for x
    x = 401,420,569,214.99/701,197.90
  6. Step 6: Final answer
    x = 572,478.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.