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Finding the Fourth Proportional to 370,104.54, 510,744.87 and 200,339.34

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Solution

The fourth proportional to 370,104.54, 510,744.87 and 200,339.34 is: 276,468.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,104.54 : 510,744.87 = 200,339.34 : x
  2. Step 2: Convert to fraction form
    370,104.54/510,744.87 = 200,339.34/x
  3. Step 3: Cross multiply
    370,104.54x = 510,744.87 × 200,339.34
  4. Step 4: Simplify right side
    370,104.54x = 102,322,290,164.19
  5. Step 5: Solve for x
    x = 102,322,290,164.19/370,104.54
  6. Step 6: Final answer
    x = 276,468.62

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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.