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Finding the Fourth Proportional to 294,322.50, 441,487.98 and 83,960.46

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Solution

The fourth proportional to 294,322.50, 441,487.98 and 83,960.46 is: 125,941.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,322.50 : 441,487.98 = 83,960.46 : x
  2. Step 2: Convert to fraction form
    294,322.50/441,487.98 = 83,960.46/x
  3. Step 3: Cross multiply
    294,322.50x = 441,487.98 × 83,960.46
  4. Step 4: Simplify right side
    294,322.50x = 37,067,533,885.27
  5. Step 5: Solve for x
    x = 37,067,533,885.27/294,322.50
  6. Step 6: Final answer
    x = 125,941.90

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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.