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Finding the Fourth Proportional to 294,511.70, 406,428.09 and 167,189.42

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Solution

The fourth proportional to 294,511.70, 406,428.09 and 167,189.42 is: 230,722.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,511.70 : 406,428.09 = 167,189.42 : x
  2. Step 2: Convert to fraction form
    294,511.70/406,428.09 = 167,189.42/x
  3. Step 3: Cross multiply
    294,511.70x = 406,428.09 × 167,189.42
  4. Step 4: Simplify right side
    294,511.70x = 67,950,476,638.81
  5. Step 5: Solve for x
    x = 67,950,476,638.81/294,511.70
  6. Step 6: Final answer
    x = 230,722.50

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1.5x scale

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.