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Finding the Fourth Proportional to 433,102.50, 649,642.80 and 117,551.22

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Solution

The fourth proportional to 433,102.50, 649,642.80 and 117,551.22 is: 176,323.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,102.50 : 649,642.80 = 117,551.22 : x
  2. Step 2: Convert to fraction form
    433,102.50/649,642.80 = 117,551.22/x
  3. Step 3: Cross multiply
    433,102.50x = 649,642.80 × 117,551.22
  4. Step 4: Simplify right side
    433,102.50x = 76,366,303,704.22
  5. Step 5: Solve for x
    x = 76,366,303,704.22/433,102.50
  6. Step 6: Final answer
    x = 176,323.86

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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.