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Finding the Fourth Proportional to 294,001.56, 441,086.16 and 144,286.86

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Solution

The fourth proportional to 294,001.56, 441,086.16 and 144,286.86 is: 216,471.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,001.56 : 441,086.16 = 144,286.86 : x
  2. Step 2: Convert to fraction form
    294,001.56/441,086.16 = 144,286.86/x
  3. Step 3: Cross multiply
    294,001.56x = 441,086.16 × 144,286.86
  4. Step 4: Simplify right side
    294,001.56x = 63,642,937,015.86
  5. Step 5: Solve for x
    x = 63,642,937,015.86/294,001.56
  6. Step 6: Final answer
    x = 216,471.43

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1.5x scale

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.