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Finding the Fourth Proportional to 294,218.92, 440,941.02 and 116,629.12

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Solution

The fourth proportional to 294,218.92, 440,941.02 and 116,629.12 is: 174,790.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,218.92 : 440,941.02 = 116,629.12 : x
  2. Step 2: Convert to fraction form
    294,218.92/440,941.02 = 116,629.12/x
  3. Step 3: Cross multiply
    294,218.92x = 440,941.02 × 116,629.12
  4. Step 4: Simplify right side
    294,218.92x = 51,426,563,134.50
  5. Step 5: Solve for x
    x = 51,426,563,134.50/294,218.92
  6. Step 6: Final answer
    x = 174,790.13

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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.