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Finding the Fourth Proportional to 468,493.92, 702,488.12 and 243,298.80

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Solution

The fourth proportional to 468,493.92, 702,488.12 and 243,298.80 is: 364,816.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,493.92 : 702,488.12 = 243,298.80 : x
  2. Step 2: Convert to fraction form
    468,493.92/702,488.12 = 243,298.80/x
  3. Step 3: Cross multiply
    468,493.92x = 702,488.12 × 243,298.80
  4. Step 4: Simplify right side
    468,493.92x = 170,914,516,610.26
  5. Step 5: Solve for x
    x = 170,914,516,610.26/468,493.92
  6. Step 6: Final answer
    x = 364,816.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.