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Finding the Fourth Proportional to 364,460.32, 502,956 and 203,311.36

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Solution

The fourth proportional to 364,460.32, 502,956 and 203,311.36 is: 280,570.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,460.32 : 502,956 = 203,311.36 : x
  2. Step 2: Convert to fraction form
    364,460.32/502,956 = 203,311.36/x
  3. Step 3: Cross multiply
    364,460.32x = 502,956 × 203,311.36
  4. Step 4: Simplify right side
    364,460.32x = 102,256,668,380.16
  5. Step 5: Solve for x
    x = 102,256,668,380.16/364,460.32
  6. Step 6: Final answer
    x = 280,570.10

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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.