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Finding the Fourth Proportional to 294,300.19, 406,122.01 and 166,982.77

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Solution

The fourth proportional to 294,300.19, 406,122.01 and 166,982.77 is: 230,429.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,300.19 : 406,122.01 = 166,982.77 : x
  2. Step 2: Convert to fraction form
    294,300.19/406,122.01 = 166,982.77/x
  3. Step 3: Cross multiply
    294,300.19x = 406,122.01 × 166,982.77
  4. Step 4: Simplify right side
    294,300.19x = 67,815,378,187.77
  5. Step 5: Solve for x
    x = 67,815,378,187.77/294,300.19
  6. Step 6: Final answer
    x = 230,429.27

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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.