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Finding the Fourth Proportional to 531,714.04, 733,745.10 and 293,250.04

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Solution

The fourth proportional to 531,714.04, 733,745.10 and 293,250.04 is: 404,673.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,714.04 : 733,745.10 = 293,250.04 : x
  2. Step 2: Convert to fraction form
    531,714.04/733,745.10 = 293,250.04/x
  3. Step 3: Cross multiply
    531,714.04x = 733,745.10 × 293,250.04
  4. Step 4: Simplify right side
    531,714.04x = 215,170,779,924.80
  5. Step 5: Solve for x
    x = 215,170,779,924.80/531,714.04
  6. Step 6: Final answer
    x = 404,673.87

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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.