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Finding the Fourth Proportional to 437,982.10, 614,419.10 and 437,982.10

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Solution

The fourth proportional to 437,982.10, 614,419.10 and 437,982.10 is: 614,419.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,982.10 : 614,419.10 = 437,982.10 : x
  2. Step 2: Convert to fraction form
    437,982.10/614,419.10 = 437,982.10/x
  3. Step 3: Cross multiply
    437,982.10x = 614,419.10 × 437,982.10
  4. Step 4: Simplify right side
    437,982.10x = 269,104,567,698.11
  5. Step 5: Solve for x
    x = 269,104,567,698.11/437,982.10
  6. Step 6: Final answer
    x = 614,419.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.