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Finding the Fourth Proportional to 370,241, 510,932.98 and 200,474.72

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Solution

The fourth proportional to 370,241, 510,932.98 and 200,474.72 is: 276,655.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,241 : 510,932.98 = 200,474.72 : x
  2. Step 2: Convert to fraction form
    370,241/510,932.98 = 200,474.72/x
  3. Step 3: Cross multiply
    370,241x = 510,932.98 × 200,474.72
  4. Step 4: Simplify right side
    370,241x = 102,429,146,104.27
  5. Step 5: Solve for x
    x = 102,429,146,104.27/370,241
  6. Step 6: Final answer
    x = 276,655.33

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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.