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Finding the Fourth Proportional to 294,794.31, 442,191.47 and 73,178.31

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Solution

The fourth proportional to 294,794.31, 442,191.47 and 73,178.31 is: 109,767.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,794.31 : 442,191.47 = 73,178.31 : x
  2. Step 2: Convert to fraction form
    294,794.31/442,191.47 = 73,178.31/x
  3. Step 3: Cross multiply
    294,794.31x = 442,191.47 × 73,178.31
  4. Step 4: Simplify right side
    294,794.31x = 32,358,824,105.12
  5. Step 5: Solve for x
    x = 32,358,824,105.12/294,794.31
  6. Step 6: Final answer
    x = 109,767.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.