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Finding the Fourth Proportional to 412,056.92, 620,893.18 and 338,817.74

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Solution

The fourth proportional to 412,056.92, 620,893.18 and 338,817.74 is: 510,535.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,056.92 : 620,893.18 = 338,817.74 : x
  2. Step 2: Convert to fraction form
    412,056.92/620,893.18 = 338,817.74/x
  3. Step 3: Cross multiply
    412,056.92x = 620,893.18 × 338,817.74
  4. Step 4: Simplify right side
    412,056.92x = 210,369,621,348.07
  5. Step 5: Solve for x
    x = 210,369,621,348.07/412,056.92
  6. Step 6: Final answer
    x = 510,535.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.