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Finding the Fourth Proportional to 406,482.24, 609,791.76 and 150,329.82

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Solution

The fourth proportional to 406,482.24, 609,791.76 and 150,329.82 is: 225,520.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,482.24 : 609,791.76 = 150,329.82 : x
  2. Step 2: Convert to fraction form
    406,482.24/609,791.76 = 150,329.82/x
  3. Step 3: Cross multiply
    406,482.24x = 609,791.76 × 150,329.82
  4. Step 4: Simplify right side
    406,482.24x = 91,669,885,518.28
  5. Step 5: Solve for x
    x = 91,669,885,518.28/406,482.24
  6. Step 6: Final answer
    x = 225,520.03

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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.