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Finding the Fourth Proportional to 364,304.32, 502,742.88 and 203,169.76

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Solution

The fourth proportional to 364,304.32, 502,742.88 and 203,169.76 is: 280,375.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,304.32 : 502,742.88 = 203,169.76 : x
  2. Step 2: Convert to fraction form
    364,304.32/502,742.88 = 203,169.76/x
  3. Step 3: Cross multiply
    364,304.32x = 502,742.88 × 203,169.76
  4. Step 4: Simplify right side
    364,304.32x = 102,142,150,271.31
  5. Step 5: Solve for x
    x = 102,142,150,271.31/364,304.32
  6. Step 6: Final answer
    x = 280,375.90

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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.