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Finding the Fourth Proportional to 531,457, 733,439.82 and 305,117.08

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Solution

The fourth proportional to 531,457, 733,439.82 and 305,117.08 is: 421,078.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,457 : 733,439.82 = 305,117.08 : x
  2. Step 2: Convert to fraction form
    531,457/733,439.82 = 305,117.08/x
  3. Step 3: Cross multiply
    531,457x = 733,439.82 × 305,117.08
  4. Step 4: Simplify right side
    531,457x = 223,785,016,234.13
  5. Step 5: Solve for x
    x = 223,785,016,234.13/531,457
  6. Step 6: Final answer
    x = 421,078.31

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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.