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Finding the Fourth Proportional to 433,566.89, 650,188.59 and 149,177.00

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Solution

The fourth proportional to 433,566.89, 650,188.59 and 149,177.00 is: 223,709.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,566.89 : 650,188.59 = 149,177.00 : x
  2. Step 2: Convert to fraction form
    433,566.89/650,188.59 = 149,177.00/x
  3. Step 3: Cross multiply
    433,566.89x = 650,188.59 × 149,177.00
  4. Step 4: Simplify right side
    433,566.89x = 96,993,184,356.49
  5. Step 5: Solve for x
    x = 96,993,184,356.49/433,566.89
  6. Step 6: Final answer
    x = 223,709.85

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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.