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Finding the Fourth Proportional to 406,851.60, 610,277.40 and 274,141.20

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Solution

The fourth proportional to 406,851.60, 610,277.40 and 274,141.20 is: 411,211.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,851.60 : 610,277.40 = 274,141.20 : x
  2. Step 2: Convert to fraction form
    406,851.60/610,277.40 = 274,141.20/x
  3. Step 3: Cross multiply
    406,851.60x = 610,277.40 × 274,141.20
  4. Step 4: Simplify right side
    406,851.60x = 167,302,178,768.88
  5. Step 5: Solve for x
    x = 167,302,178,768.88/406,851.60
  6. Step 6: Final answer
    x = 411,211.80

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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.