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Finding the Fourth Proportional to 406,670.76, 610,082.90 and 154,026.90

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Solution

The fourth proportional to 406,670.76, 610,082.90 and 154,026.90 is: 231,069.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,670.76 : 610,082.90 = 154,026.90 : x
  2. Step 2: Convert to fraction form
    406,670.76/610,082.90 = 154,026.90/x
  3. Step 3: Cross multiply
    406,670.76x = 610,082.90 × 154,026.90
  4. Step 4: Simplify right side
    406,670.76x = 93,969,177,830.01
  5. Step 5: Solve for x
    x = 93,969,177,830.01/406,670.76
  6. Step 6: Final answer
    x = 231,069.42

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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.