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Finding the Fourth Proportional to 406,294.14, 605,151.42 and 384,956.31

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Solution

The fourth proportional to 406,294.14, 605,151.42 and 384,956.31 is: 573,369.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,294.14 : 605,151.42 = 384,956.31 : x
  2. Step 2: Convert to fraction form
    406,294.14/605,151.42 = 384,956.31/x
  3. Step 3: Cross multiply
    406,294.14x = 605,151.42 × 384,956.31
  4. Step 4: Simplify right side
    406,294.14x = 232,956,857,634.46
  5. Step 5: Solve for x
    x = 232,956,857,634.46/406,294.14
  6. Step 6: Final answer
    x = 573,369.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.