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Finding the Fourth Proportional to 370,176.54, 510,843.78 and 200,410.62

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Solution

The fourth proportional to 370,176.54, 510,843.78 and 200,410.62 is: 276,566.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,176.54 : 510,843.78 = 200,410.62 : x
  2. Step 2: Convert to fraction form
    370,176.54/510,843.78 = 200,410.62/x
  3. Step 3: Cross multiply
    370,176.54x = 510,843.78 × 200,410.62
  4. Step 4: Simplify right side
    370,176.54x = 102,378,518,672.94
  5. Step 5: Solve for x
    x = 102,378,518,672.94/370,176.54
  6. Step 6: Final answer
    x = 276,566.74

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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.