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Finding the Fourth Proportional to 463,014.10, 694,193.10 and 210,415.60

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Solution

The fourth proportional to 463,014.10, 694,193.10 and 210,415.60 is: 315,474.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,014.10 : 694,193.10 = 210,415.60 : x
  2. Step 2: Convert to fraction form
    463,014.10/694,193.10 = 210,415.60/x
  3. Step 3: Cross multiply
    463,014.10x = 694,193.10 × 210,415.60
  4. Step 4: Simplify right side
    463,014.10x = 146,069,057,652.36
  5. Step 5: Solve for x
    x = 146,069,057,652.36/463,014.10
  6. Step 6: Final answer
    x = 315,474.32

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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.