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Finding the Fourth Proportional to 531,609.31, 733,638.56 and 289,905.11

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Solution

The fourth proportional to 531,609.31, 733,638.56 and 289,905.11 is: 400,078.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,609.31 : 733,638.56 = 289,905.11 : x
  2. Step 2: Convert to fraction form
    531,609.31/733,638.56 = 289,905.11/x
  3. Step 3: Cross multiply
    531,609.31x = 733,638.56 × 289,905.11
  4. Step 4: Simplify right side
    531,609.31x = 212,685,567,437.04
  5. Step 5: Solve for x
    x = 212,685,567,437.04/531,609.31
  6. Step 6: Final answer
    x = 400,078.71

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1.5x scale

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.