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Finding the Fourth Proportional to 370,235.75, 510,925.70 and 200,469.47

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Solution

The fourth proportional to 370,235.75, 510,925.70 and 200,469.47 is: 276,648.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,235.75 : 510,925.70 = 200,469.47 : x
  2. Step 2: Convert to fraction form
    370,235.75/510,925.70 = 200,469.47/x
  3. Step 3: Cross multiply
    370,235.75x = 510,925.70 × 200,469.47
  4. Step 4: Simplify right side
    370,235.75x = 102,425,004,288.38
  5. Step 5: Solve for x
    x = 102,425,004,288.38/370,235.75
  6. Step 6: Final answer
    x = 276,648.07

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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.