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Finding the Fourth Proportional to 294,807.30, 442,210.92 and 73,191.30

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Solution

The fourth proportional to 294,807.30, 442,210.92 and 73,191.30 is: 109,786.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,807.30 : 442,210.92 = 73,191.30 : x
  2. Step 2: Convert to fraction form
    294,807.30/442,210.92 = 73,191.30/x
  3. Step 3: Cross multiply
    294,807.30x = 442,210.92 × 73,191.30
  4. Step 4: Simplify right side
    294,807.30x = 32,365,992,109.00
  5. Step 5: Solve for x
    x = 32,365,992,109.00/294,807.30
  6. Step 6: Final answer
    x = 109,786.94

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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.