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Finding the Fourth Proportional to 406,980.80, 610,471.20 and 111,492.80

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Solution

The fourth proportional to 406,980.80, 610,471.20 and 111,492.80 is: 167,239.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,980.80 : 610,471.20 = 111,492.80 : x
  2. Step 2: Convert to fraction form
    406,980.80/610,471.20 = 111,492.80/x
  3. Step 3: Cross multiply
    406,980.80x = 610,471.20 × 111,492.80
  4. Step 4: Simplify right side
    406,980.80x = 68,063,143,407.36
  5. Step 5: Solve for x
    x = 68,063,143,407.36/406,980.80
  6. Step 6: Final answer
    x = 167,239.20

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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.