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Finding the Fourth Proportional to 313,700.52, 469,319.01 and 242,082.08

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Solution

The fourth proportional to 313,700.52, 469,319.01 and 242,082.08 is: 362,172.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,700.52 : 469,319.01 = 242,082.08 : x
  2. Step 2: Convert to fraction form
    313,700.52/469,319.01 = 242,082.08/x
  3. Step 3: Cross multiply
    313,700.52x = 469,319.01 × 242,082.08
  4. Step 4: Simplify right side
    313,700.52x = 113,613,719,777.75
  5. Step 5: Solve for x
    x = 113,613,719,777.75/313,700.52
  6. Step 6: Final answer
    x = 362,172.56

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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.