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Finding the Fourth Proportional to 412,056.60, 618,473.70 and 254,592.60

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Solution

The fourth proportional to 412,056.60, 618,473.70 and 254,592.60 is: 382,129.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,056.60 : 618,473.70 = 254,592.60 : x
  2. Step 2: Convert to fraction form
    412,056.60/618,473.70 = 254,592.60/x
  3. Step 3: Cross multiply
    412,056.60x = 618,473.70 × 254,592.60
  4. Step 4: Simplify right side
    412,056.60x = 157,458,827,314.62
  5. Step 5: Solve for x
    x = 157,458,827,314.62/412,056.60
  6. Step 6: Final answer
    x = 382,129.12

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1.5x scale

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.