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Finding the Fourth Proportional to 294,311.40, 441,532.88 and 107,322.88

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Solution

The fourth proportional to 294,311.40, 441,532.88 and 107,322.88 is: 161,008.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,311.40 : 441,532.88 = 107,322.88 : x
  2. Step 2: Convert to fraction form
    294,311.40/441,532.88 = 107,322.88/x
  3. Step 3: Cross multiply
    294,311.40x = 441,532.88 × 107,322.88
  4. Step 4: Simplify right side
    294,311.40x = 47,386,580,296.29
  5. Step 5: Solve for x
    x = 47,386,580,296.29/294,311.40
  6. Step 6: Final answer
    x = 161,008.31

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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.