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Finding the Fourth Proportional to 364,086.49, 502,654.90 and 323,688.67

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Solution

The fourth proportional to 364,086.49, 502,654.90 and 323,688.67 is: 446,881.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,086.49 : 502,654.90 = 323,688.67 : x
  2. Step 2: Convert to fraction form
    364,086.49/502,654.90 = 323,688.67/x
  3. Step 3: Cross multiply
    364,086.49x = 502,654.90 × 323,688.67
  4. Step 4: Simplify right side
    364,086.49x = 162,703,696,049.98
  5. Step 5: Solve for x
    x = 162,703,696,049.98/364,086.49
  6. Step 6: Final answer
    x = 446,881.99

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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.