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Finding the Fourth Proportional to 412,821.70, 618,649.35 and 254,580.10

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Solution

The fourth proportional to 412,821.70, 618,649.35 and 254,580.10 is: 381,510.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,821.70 : 618,649.35 = 254,580.10 : x
  2. Step 2: Convert to fraction form
    412,821.70/618,649.35 = 254,580.10/x
  3. Step 3: Cross multiply
    412,821.70x = 618,649.35 × 254,580.10
  4. Step 4: Simplify right side
    412,821.70x = 157,495,813,387.94
  5. Step 5: Solve for x
    x = 157,495,813,387.94/412,821.70
  6. Step 6: Final answer
    x = 381,510.50

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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.