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Finding the Fourth Proportional to 733,748.10, 1,029,609.30 and 733,748.10

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Solution

The fourth proportional to 733,748.10, 1,029,609.30 and 733,748.10 is: 1,029,609.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,748.10 : 1,029,609.30 = 733,748.10 : x
  2. Step 2: Convert to fraction form
    733,748.10/1,029,609.30 = 733,748.10/x
  3. Step 3: Cross multiply
    733,748.10x = 1,029,609.30 × 733,748.10
  4. Step 4: Simplify right side
    733,748.10x = 755,473,867,617.33
  5. Step 5: Solve for x
    x = 755,473,867,617.33/733,748.10
  6. Step 6: Final answer
    x = 1,029,609.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.