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Finding the Fourth Proportional to 407,871.68, 562,844.64 and 226,596.32

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Solution

The fourth proportional to 407,871.68, 562,844.64 and 226,596.32 is: 312,692.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,871.68 : 562,844.64 = 226,596.32 : x
  2. Step 2: Convert to fraction form
    407,871.68/562,844.64 = 226,596.32/x
  3. Step 3: Cross multiply
    407,871.68x = 562,844.64 × 226,596.32
  4. Step 4: Simplify right side
    407,871.68x = 127,538,524,155.73
  5. Step 5: Solve for x
    x = 127,538,524,155.73/407,871.68
  6. Step 6: Final answer
    x = 312,692.77

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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.