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Finding the Fourth Proportional to 376,384.32, 519,406.56 and 206,614.08

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Solution

The fourth proportional to 376,384.32, 519,406.56 and 206,614.08 is: 285,125.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,384.32 : 519,406.56 = 206,614.08 : x
  2. Step 2: Convert to fraction form
    376,384.32/519,406.56 = 206,614.08/x
  3. Step 3: Cross multiply
    376,384.32x = 519,406.56 × 206,614.08
  4. Step 4: Simplify right side
    376,384.32x = 107,316,708,540.37
  5. Step 5: Solve for x
    x = 107,316,708,540.37/376,384.32
  6. Step 6: Final answer
    x = 285,125.34

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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.