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Finding the Fourth Proportional to 406,941.10, 610,411.65 and 266,781.10

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Solution

The fourth proportional to 406,941.10, 610,411.65 and 266,781.10 is: 400,171.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,941.10 : 610,411.65 = 266,781.10 : x
  2. Step 2: Convert to fraction form
    406,941.10/610,411.65 = 266,781.10/x
  3. Step 3: Cross multiply
    406,941.10x = 610,411.65 × 266,781.10
  4. Step 4: Simplify right side
    406,941.10x = 162,846,291,439.82
  5. Step 5: Solve for x
    x = 162,846,291,439.82/406,941.10
  6. Step 6: Final answer
    x = 400,171.65

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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.