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Finding the Fourth Proportional to 531,201, 733,057.38 and 292,737

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Solution

The fourth proportional to 531,201, 733,057.38 and 292,737 is: 403,977.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,201 : 733,057.38 = 292,737 : x
  2. Step 2: Convert to fraction form
    531,201/733,057.38 = 292,737/x
  3. Step 3: Cross multiply
    531,201x = 733,057.38 × 292,737
  4. Step 4: Simplify right side
    531,201x = 214,593,018,249.06
  5. Step 5: Solve for x
    x = 214,593,018,249.06/531,201
  6. Step 6: Final answer
    x = 403,977.06

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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.