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Finding the Fourth Proportional to 364,309.72, 502,746.44 and 203,164.96

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Solution

The fourth proportional to 364,309.72, 502,746.44 and 203,164.96 is: 280,367.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,309.72 : 502,746.44 = 203,164.96 : x
  2. Step 2: Convert to fraction form
    364,309.72/502,746.44 = 203,164.96/x
  3. Step 3: Cross multiply
    364,309.72x = 502,746.44 × 203,164.96
  4. Step 4: Simplify right side
    364,309.72x = 102,140,460,372.74
  5. Step 5: Solve for x
    x = 102,140,460,372.74/364,309.72
  6. Step 6: Final answer
    x = 280,367.10

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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.