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Finding the Fourth Proportional to 406,035.39, 608,843.22 and 178,237.77

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Solution

The fourth proportional to 406,035.39, 608,843.22 and 178,237.77 is: 267,264.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,035.39 : 608,843.22 = 178,237.77 : x
  2. Step 2: Convert to fraction form
    406,035.39/608,843.22 = 178,237.77/x
  3. Step 3: Cross multiply
    406,035.39x = 608,843.22 × 178,237.77
  4. Step 4: Simplify right side
    406,035.39x = 108,518,857,812.42
  5. Step 5: Solve for x
    x = 108,518,857,812.42/406,035.39
  6. Step 6: Final answer
    x = 267,264.53

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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.