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Finding the Fourth Proportional to 370,043.76, 510,660.24 and 200,277.84

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Solution

The fourth proportional to 370,043.76, 510,660.24 and 200,277.84 is: 276,383.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,043.76 : 510,660.24 = 200,277.84 : x
  2. Step 2: Convert to fraction form
    370,043.76/510,660.24 = 200,277.84/x
  3. Step 3: Cross multiply
    370,043.76x = 510,660.24 × 200,277.84
  4. Step 4: Simplify right side
    370,043.76x = 102,273,929,841.08
  5. Step 5: Solve for x
    x = 102,273,929,841.08/370,043.76
  6. Step 6: Final answer
    x = 276,383.34

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1.5x scale

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.