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Finding the Fourth Proportional to 406,218.62, 608,966.40 and 192,854.90

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Solution

The fourth proportional to 406,218.62, 608,966.40 and 192,854.90 is: 289,110.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,218.62 : 608,966.40 = 192,854.90 : x
  2. Step 2: Convert to fraction form
    406,218.62/608,966.40 = 192,854.90/x
  3. Step 3: Cross multiply
    406,218.62x = 608,966.40 × 192,854.90
  4. Step 4: Simplify right side
    406,218.62x = 117,442,154,175.36
  5. Step 5: Solve for x
    x = 117,442,154,175.36/406,218.62
  6. Step 6: Final answer
    x = 289,110.71

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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.