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Finding the Fourth Proportional to 294,673.60, 442,014.40 and 84,311.60

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Solution

The fourth proportional to 294,673.60, 442,014.40 and 84,311.60 is: 126,468.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,673.60 : 442,014.40 = 84,311.60 : x
  2. Step 2: Convert to fraction form
    294,673.60/442,014.40 = 84,311.60/x
  3. Step 3: Cross multiply
    294,673.60x = 442,014.40 × 84,311.60
  4. Step 4: Simplify right side
    294,673.60x = 37,266,941,287.04
  5. Step 5: Solve for x
    x = 37,266,941,287.04/294,673.60
  6. Step 6: Final answer
    x = 126,468.54

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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.