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Finding the Fourth Proportional to 373,082.85, 514,708.18 and 229,593.78

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Solution

The fourth proportional to 373,082.85, 514,708.18 and 229,593.78 is: 316,749.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,082.85 : 514,708.18 = 229,593.78 : x
  2. Step 2: Convert to fraction form
    373,082.85/514,708.18 = 229,593.78/x
  3. Step 3: Cross multiply
    373,082.85x = 514,708.18 × 229,593.78
  4. Step 4: Simplify right side
    373,082.85x = 118,173,796,643.12
  5. Step 5: Solve for x
    x = 118,173,796,643.12/373,082.85
  6. Step 6: Final answer
    x = 316,749.47

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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.