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Finding the Fourth Proportional to 406,941.70, 610,412.55 and 185,757.70

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Solution

The fourth proportional to 406,941.70, 610,412.55 and 185,757.70 is: 278,636.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,941.70 : 610,412.55 = 185,757.70 : x
  2. Step 2: Convert to fraction form
    406,941.70/610,412.55 = 185,757.70/x
  3. Step 3: Cross multiply
    406,941.70x = 610,412.55 × 185,757.70
  4. Step 4: Simplify right side
    406,941.70x = 113,388,831,339.14
  5. Step 5: Solve for x
    x = 113,388,831,339.14/406,941.70
  6. Step 6: Final answer
    x = 278,636.55

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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.