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Finding the Fourth Proportional to 370,133.50, 510,784.50 and 200,367.76

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Solution

The fourth proportional to 370,133.50, 510,784.50 and 200,367.76 is: 276,507.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,133.50 : 510,784.50 = 200,367.76 : x
  2. Step 2: Convert to fraction form
    370,133.50/510,784.50 = 200,367.76/x
  3. Step 3: Cross multiply
    370,133.50x = 510,784.50 × 200,367.76
  4. Step 4: Simplify right side
    370,133.50x = 102,344,746,107.72
  5. Step 5: Solve for x
    x = 102,344,746,107.72/370,133.50
  6. Step 6: Final answer
    x = 276,507.65

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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.