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Finding the Fourth Proportional to 453,911.40, 680,867.10 and 412,577.10

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Solution

The fourth proportional to 453,911.40, 680,867.10 and 412,577.10 is: 618,865.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,911.40 : 680,867.10 = 412,577.10 : x
  2. Step 2: Convert to fraction form
    453,911.40/680,867.10 = 412,577.10/x
  3. Step 3: Cross multiply
    453,911.40x = 680,867.10 × 412,577.10
  4. Step 4: Simplify right side
    453,911.40x = 280,910,173,603.41
  5. Step 5: Solve for x
    x = 280,910,173,603.41/453,911.40
  6. Step 6: Final answer
    x = 618,865.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.