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Finding the Fourth Proportional to 333,564.86, 500,475.54 and 200,536.94

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Solution

The fourth proportional to 333,564.86, 500,475.54 and 200,536.94 is: 300,882.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,564.86 : 500,475.54 = 200,536.94 : x
  2. Step 2: Convert to fraction form
    333,564.86/500,475.54 = 200,536.94/x
  3. Step 3: Cross multiply
    333,564.86x = 500,475.54 × 200,536.94
  4. Step 4: Simplify right side
    333,564.86x = 100,363,833,336.45
  5. Step 5: Solve for x
    x = 100,363,833,336.45/333,564.86
  6. Step 6: Final answer
    x = 300,882.51

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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.