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Finding the Fourth Proportional to 729,692.92, 1,006,933.92 and 407,423.42

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Solution

The fourth proportional to 729,692.92, 1,006,933.92 and 407,423.42 is: 562,220.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,692.92 : 1,006,933.92 = 407,423.42 : x
  2. Step 2: Convert to fraction form
    729,692.92/1,006,933.92 = 407,423.42/x
  3. Step 3: Cross multiply
    729,692.92x = 1,006,933.92 × 407,423.42
  4. Step 4: Simplify right side
    729,692.92x = 410,248,458,613.90
  5. Step 5: Solve for x
    x = 410,248,458,613.90/729,692.92
  6. Step 6: Final answer
    x = 562,220.69

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