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Finding the Fourth Proportional to 364,263.34, 502,400.76 and 323,470.38

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Solution

The fourth proportional to 364,263.34, 502,400.76 and 323,470.38 is: 446,138.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,263.34 : 502,400.76 = 323,470.38 : x
  2. Step 2: Convert to fraction form
    364,263.34/502,400.76 = 323,470.38/x
  3. Step 3: Cross multiply
    364,263.34x = 502,400.76 × 323,470.38
  4. Step 4: Simplify right side
    364,263.34x = 162,511,764,749.49
  5. Step 5: Solve for x
    x = 162,511,764,749.49/364,263.34
  6. Step 6: Final answer
    x = 446,138.13

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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.