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Finding the Fourth Proportional to 294,472.93, 441,704.53 and 72,856.93

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Solution

The fourth proportional to 294,472.93, 441,704.53 and 72,856.93 is: 109,284.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,472.93 : 441,704.53 = 72,856.93 : x
  2. Step 2: Convert to fraction form
    294,472.93/441,704.53 = 72,856.93/x
  3. Step 3: Cross multiply
    294,472.93x = 441,704.53 × 72,856.93
  4. Step 4: Simplify right side
    294,472.93x = 32,181,236,022.89
  5. Step 5: Solve for x
    x = 32,181,236,022.89/294,472.93
  6. Step 6: Final answer
    x = 109,284.19

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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.