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Finding the Fourth Proportional to 294,070.40, 405,891.20 and 166,822.40

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Solution

The fourth proportional to 294,070.40, 405,891.20 and 166,822.40 is: 230,256.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,070.40 : 405,891.20 = 166,822.40 : x
  2. Step 2: Convert to fraction form
    294,070.40/405,891.20 = 166,822.40/x
  3. Step 3: Cross multiply
    294,070.40x = 405,891.20 × 166,822.40
  4. Step 4: Simplify right side
    294,070.40x = 67,711,744,122.88
  5. Step 5: Solve for x
    x = 67,711,744,122.88/294,070.40
  6. Step 6: Final answer
    x = 230,256.92

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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.