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Finding the Fourth Proportional to 405,135.84, 559,113.72 and 223,847.73

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Solution

The fourth proportional to 405,135.84, 559,113.72 and 223,847.73 is: 308,924.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,135.84 : 559,113.72 = 223,847.73 : x
  2. Step 2: Convert to fraction form
    405,135.84/559,113.72 = 223,847.73/x
  3. Step 3: Cross multiply
    405,135.84x = 559,113.72 × 223,847.73
  4. Step 4: Simplify right side
    405,135.84x = 125,156,337,033.86
  5. Step 5: Solve for x
    x = 125,156,337,033.86/405,135.84
  6. Step 6: Final answer
    x = 308,924.38

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Double scale
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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.