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Finding the Fourth Proportional to 406,769.94, 561,363.12 and 234,623.88

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Solution

The fourth proportional to 406,769.94, 561,363.12 and 234,623.88 is: 323,792.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,769.94 : 561,363.12 = 234,623.88 : x
  2. Step 2: Convert to fraction form
    406,769.94/561,363.12 = 234,623.88/x
  3. Step 3: Cross multiply
    406,769.94x = 561,363.12 × 234,623.88
  4. Step 4: Simplify right side
    406,769.94x = 131,709,193,303.31
  5. Step 5: Solve for x
    x = 131,709,193,303.31/406,769.94
  6. Step 6: Final answer
    x = 323,792.84

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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.