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Finding the Fourth Proportional to 406,980.60, 610,049.70 and 182,448.60

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Solution

The fourth proportional to 406,980.60, 610,049.70 and 182,448.60 is: 273,484.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,980.60 : 610,049.70 = 182,448.60 : x
  2. Step 2: Convert to fraction form
    406,980.60/610,049.70 = 182,448.60/x
  3. Step 3: Cross multiply
    406,980.60x = 610,049.70 × 182,448.60
  4. Step 4: Simplify right side
    406,980.60x = 111,302,713,695.42
  5. Step 5: Solve for x
    x = 111,302,713,695.42/406,980.60
  6. Step 6: Final answer
    x = 273,484.08

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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.