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Finding the Fourth Proportional to 587,327, 810,442.50 and 345,556.40

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Solution

The fourth proportional to 587,327, 810,442.50 and 345,556.40 is: 476,827.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,327 : 810,442.50 = 345,556.40 : x
  2. Step 2: Convert to fraction form
    587,327/810,442.50 = 345,556.40/x
  3. Step 3: Cross multiply
    587,327x = 810,442.50 × 345,556.40
  4. Step 4: Simplify right side
    587,327x = 280,053,592,707
  5. Step 5: Solve for x
    x = 280,053,592,707/587,327
  6. Step 6: Final answer
    x = 476,827.38

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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.