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Finding the Fourth Proportional to 493,428.48, 680,858.01 and 289,402.44

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Solution

The fourth proportional to 493,428.48, 680,858.01 and 289,402.44 is: 399,332.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,428.48 : 680,858.01 = 289,402.44 : x
  2. Step 2: Convert to fraction form
    493,428.48/680,858.01 = 289,402.44/x
  3. Step 3: Cross multiply
    493,428.48x = 680,858.01 × 289,402.44
  4. Step 4: Simplify right side
    493,428.48x = 197,041,969,387.54
  5. Step 5: Solve for x
    x = 197,041,969,387.54/493,428.48
  6. Step 6: Final answer
    x = 399,332.38

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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.