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Finding the Fourth Proportional to 406,852.85, 561,490.20 and 225,621.63

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Solution

The fourth proportional to 406,852.85, 561,490.20 and 225,621.63 is: 311,376.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,852.85 : 561,490.20 = 225,621.63 : x
  2. Step 2: Convert to fraction form
    406,852.85/561,490.20 = 225,621.63/x
  3. Step 3: Cross multiply
    406,852.85x = 561,490.20 × 225,621.63
  4. Step 4: Simplify right side
    406,852.85x = 126,684,334,153.03
  5. Step 5: Solve for x
    x = 126,684,334,153.03/406,852.85
  6. Step 6: Final answer
    x = 311,376.30

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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.