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Finding the Fourth Proportional to 407,102.69, 561,790.87 and 235,014.84

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Solution

The fourth proportional to 407,102.69, 561,790.87 and 235,014.84 is: 324,314.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,102.69 : 561,790.87 = 235,014.84 : x
  2. Step 2: Convert to fraction form
    407,102.69/561,790.87 = 235,014.84/x
  3. Step 3: Cross multiply
    407,102.69x = 561,790.87 × 235,014.84
  4. Step 4: Simplify right side
    407,102.69x = 132,029,188,617.56
  5. Step 5: Solve for x
    x = 132,029,188,617.56/407,102.69
  6. Step 6: Final answer
    x = 324,314.21

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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.