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Finding the Fourth Proportional to 364,452.16, 502,944.80 and 203,303.20

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Solution

The fourth proportional to 364,452.16, 502,944.80 and 203,303.20 is: 280,558.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,452.16 : 502,944.80 = 203,303.20 : x
  2. Step 2: Convert to fraction form
    364,452.16/502,944.80 = 203,303.20/x
  3. Step 3: Cross multiply
    364,452.16x = 502,944.80 × 203,303.20
  4. Step 4: Simplify right side
    364,452.16x = 102,250,287,263.36
  5. Step 5: Solve for x
    x = 102,250,287,263.36/364,452.16
  6. Step 6: Final answer
    x = 280,558.87

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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.