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Finding the Fourth Proportional to 531,219, 733,082.22 and 292,755

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Solution

The fourth proportional to 531,219, 733,082.22 and 292,755 is: 404,001.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,219 : 733,082.22 = 292,755 : x
  2. Step 2: Convert to fraction form
    531,219/733,082.22 = 292,755/x
  3. Step 3: Cross multiply
    531,219x = 733,082.22 × 292,755
  4. Step 4: Simplify right side
    531,219x = 214,613,485,316.10
  5. Step 5: Solve for x
    x = 214,613,485,316.10/531,219
  6. Step 6: Final answer
    x = 404,001.90

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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.