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Finding the Fourth Proportional to 482,489.40, 723,735.96 and 201,809.76

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Solution

The fourth proportional to 482,489.40, 723,735.96 and 201,809.76 is: 302,715.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,489.40 : 723,735.96 = 201,809.76 : x
  2. Step 2: Convert to fraction form
    482,489.40/723,735.96 = 201,809.76/x
  3. Step 3: Cross multiply
    482,489.40x = 723,735.96 × 201,809.76
  4. Step 4: Simplify right side
    482,489.40x = 146,056,980,390.97
  5. Step 5: Solve for x
    x = 146,056,980,390.97/482,489.40
  6. Step 6: Final answer
    x = 302,715.42

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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.