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Finding the Fourth Proportional to 406,876.21, 610,230.88 and 154,069.51

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Solution

The fourth proportional to 406,876.21, 610,230.88 and 154,069.51 is: 231,072.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,876.21 : 610,230.88 = 154,069.51 : x
  2. Step 2: Convert to fraction form
    406,876.21/610,230.88 = 154,069.51/x
  3. Step 3: Cross multiply
    406,876.21x = 610,230.88 × 154,069.51
  4. Step 4: Simplify right side
    406,876.21x = 94,017,972,668.47
  5. Step 5: Solve for x
    x = 94,017,972,668.47/406,876.21
  6. Step 6: Final answer
    x = 231,072.67

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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.