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Finding the Fourth Proportional to 407,998.58, 563,026.84 and 226,705.85

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Solution

The fourth proportional to 407,998.58, 563,026.84 and 226,705.85 is: 312,847.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,998.58 : 563,026.84 = 226,705.85 : x
  2. Step 2: Convert to fraction form
    407,998.58/563,026.84 = 226,705.85/x
  3. Step 3: Cross multiply
    407,998.58x = 563,026.84 × 226,705.85
  4. Step 4: Simplify right side
    407,998.58x = 127,641,474,953.12
  5. Step 5: Solve for x
    x = 127,641,474,953.12/407,998.58
  6. Step 6: Final answer
    x = 312,847.85

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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.