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Finding the Fourth Proportional to 536,082.23, 803,868.55 and 311,507.44

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Solution

The fourth proportional to 536,082.23, 803,868.55 and 311,507.44 is: 467,113.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,082.23 : 803,868.55 = 311,507.44 : x
  2. Step 2: Convert to fraction form
    536,082.23/803,868.55 = 311,507.44/x
  3. Step 3: Cross multiply
    536,082.23x = 803,868.55 × 311,507.44
  4. Step 4: Simplify right side
    536,082.23x = 250,411,034,107.01
  5. Step 5: Solve for x
    x = 250,411,034,107.01/536,082.23
  6. Step 6: Final answer
    x = 467,113.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.