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Finding the Fourth Proportional to 719,847.52, 993,396.38 and 409,734.96

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Solution

The fourth proportional to 719,847.52, 993,396.38 and 409,734.96 is: 565,438.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,847.52 : 993,396.38 = 409,734.96 : x
  2. Step 2: Convert to fraction form
    719,847.52/993,396.38 = 409,734.96/x
  3. Step 3: Cross multiply
    719,847.52x = 993,396.38 × 409,734.96
  4. Step 4: Simplify right side
    719,847.52x = 407,029,220,249.53
  5. Step 5: Solve for x
    x = 407,029,220,249.53/719,847.52
  6. Step 6: Final answer
    x = 565,438.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.