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Finding the Fourth Proportional to 381,714.64, 526,907.82 and 327,783.04

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Solution

The fourth proportional to 381,714.64, 526,907.82 and 327,783.04 is: 452,462.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,714.64 : 526,907.82 = 327,783.04 : x
  2. Step 2: Convert to fraction form
    381,714.64/526,907.82 = 327,783.04/x
  3. Step 3: Cross multiply
    381,714.64x = 526,907.82 × 327,783.04
  4. Step 4: Simplify right side
    381,714.64x = 172,711,447,039.37
  5. Step 5: Solve for x
    x = 172,711,447,039.37/381,714.64
  6. Step 6: Final answer
    x = 452,462.20

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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.