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Finding the Fourth Proportional to 384,524.94, 576,412.50 and 153,645.12

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Solution

The fourth proportional to 384,524.94, 576,412.50 and 153,645.12 is: 230,317.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,524.94 : 576,412.50 = 153,645.12 : x
  2. Step 2: Convert to fraction form
    384,524.94/576,412.50 = 153,645.12/x
  3. Step 3: Cross multiply
    384,524.94x = 576,412.50 × 153,645.12
  4. Step 4: Simplify right side
    384,524.94x = 88,562,964,849.94
  5. Step 5: Solve for x
    x = 88,562,964,849.94/384,524.94
  6. Step 6: Final answer
    x = 230,317.87

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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.