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Finding the Fourth Proportional to 369,950.72, 510,474.24 and 210,944

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Solution

The fourth proportional to 369,950.72, 510,474.24 and 210,944 is: 291,069.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,950.72 : 510,474.24 = 210,944 : x
  2. Step 2: Convert to fraction form
    369,950.72/510,474.24 = 210,944/x
  3. Step 3: Cross multiply
    369,950.72x = 510,474.24 × 210,944
  4. Step 4: Simplify right side
    369,950.72x = 107,681,478,082.56
  5. Step 5: Solve for x
    x = 107,681,478,082.56/369,950.72
  6. Step 6: Final answer
    x = 291,069.79

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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.