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Finding the Fourth Proportional to 294,226.40, 404,758.23 and 257,763.62

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Solution

The fourth proportional to 294,226.40, 404,758.23 and 257,763.62 is: 354,597.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,226.40 : 404,758.23 = 257,763.62 : x
  2. Step 2: Convert to fraction form
    294,226.40/404,758.23 = 257,763.62/x
  3. Step 3: Cross multiply
    294,226.40x = 404,758.23 × 257,763.62
  4. Step 4: Simplify right side
    294,226.40x = 104,331,946,589.59
  5. Step 5: Solve for x
    x = 104,331,946,589.59/294,226.40
  6. Step 6: Final answer
    x = 354,597.50

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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.