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Finding the Fourth Proportional to 406,667.23, 560,701.91 and 329,969.14

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Solution

The fourth proportional to 406,667.23, 560,701.91 and 329,969.14 is: 454,952.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,667.23 : 560,701.91 = 329,969.14 : x
  2. Step 2: Convert to fraction form
    406,667.23/560,701.91 = 329,969.14/x
  3. Step 3: Cross multiply
    406,667.23x = 560,701.91 × 329,969.14
  4. Step 4: Simplify right side
    406,667.23x = 185,014,327,039.06
  5. Step 5: Solve for x
    x = 185,014,327,039.06/406,667.23
  6. Step 6: Final answer
    x = 454,952.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.