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Finding the Fourth Proportional to 384,144.96, 576,217.44 and 103,684.08

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Solution

The fourth proportional to 384,144.96, 576,217.44 and 103,684.08 is: 155,526.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,144.96 : 576,217.44 = 103,684.08 : x
  2. Step 2: Convert to fraction form
    384,144.96/576,217.44 = 103,684.08/x
  3. Step 3: Cross multiply
    384,144.96x = 576,217.44 × 103,684.08
  4. Step 4: Simplify right side
    384,144.96x = 59,744,575,146.36
  5. Step 5: Solve for x
    x = 59,744,575,146.36/384,144.96
  6. Step 6: Final answer
    x = 155,526.12

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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.