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Finding the Fourth Proportional to 294,024.56, 441,182.76 and 116,527.64

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Solution

The fourth proportional to 294,024.56, 441,182.76 and 116,527.64 is: 174,849.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,024.56 : 441,182.76 = 116,527.64 : x
  2. Step 2: Convert to fraction form
    294,024.56/441,182.76 = 116,527.64/x
  3. Step 3: Cross multiply
    294,024.56x = 441,182.76 × 116,527.64
  4. Step 4: Simplify right side
    294,024.56x = 51,409,985,831.49
  5. Step 5: Solve for x
    x = 51,409,985,831.49/294,024.56
  6. Step 6: Final answer
    x = 174,849.29

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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.