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Finding the Fourth Proportional to 433,390.78, 650,155.44 and 133,800.94

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Solution

The fourth proportional to 433,390.78, 650,155.44 and 133,800.94 is: 200,722.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,390.78 : 650,155.44 = 133,800.94 : x
  2. Step 2: Convert to fraction form
    433,390.78/650,155.44 = 133,800.94/x
  3. Step 3: Cross multiply
    433,390.78x = 650,155.44 × 133,800.94
  4. Step 4: Simplify right side
    433,390.78x = 86,991,409,018.11
  5. Step 5: Solve for x
    x = 86,991,409,018.11/433,390.78
  6. Step 6: Final answer
    x = 200,722.80

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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.