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Finding the Fourth Proportional to 406,575.64, 561,082.50 and 236,820.70

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Solution

The fourth proportional to 406,575.64, 561,082.50 and 236,820.70 is: 326,817.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,575.64 : 561,082.50 = 236,820.70 : x
  2. Step 2: Convert to fraction form
    406,575.64/561,082.50 = 236,820.70/x
  3. Step 3: Cross multiply
    406,575.64x = 561,082.50 × 236,820.70
  4. Step 4: Simplify right side
    406,575.64x = 132,875,946,418.23
  5. Step 5: Solve for x
    x = 132,875,946,418.23/406,575.64
  6. Step 6: Final answer
    x = 326,817.29

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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.