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Finding the Fourth Proportional to 333,704.36, 500,451.88 and 109,013.60

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Solution

The fourth proportional to 333,704.36, 500,451.88 and 109,013.60 is: 163,486.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,704.36 : 500,451.88 = 109,013.60 : x
  2. Step 2: Convert to fraction form
    333,704.36/500,451.88 = 109,013.60/x
  3. Step 3: Cross multiply
    333,704.36x = 500,451.88 × 109,013.60
  4. Step 4: Simplify right side
    333,704.36x = 54,556,061,065.57
  5. Step 5: Solve for x
    x = 54,556,061,065.57/333,704.36
  6. Step 6: Final answer
    x = 163,486.21

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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.