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Finding the Fourth Proportional to 370,049.51, 510,668.28 and 200,283.64

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Solution

The fourth proportional to 370,049.51, 510,668.28 and 200,283.64 is: 276,391.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,049.51 : 510,668.28 = 200,283.64 : x
  2. Step 2: Convert to fraction form
    370,049.51/510,668.28 = 200,283.64/x
  3. Step 3: Cross multiply
    370,049.51x = 510,668.28 × 200,283.64
  4. Step 4: Simplify right side
    370,049.51x = 102,278,500,674.27
  5. Step 5: Solve for x
    x = 102,278,500,674.27/370,049.51
  6. Step 6: Final answer
    x = 276,391.39

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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.