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Finding the Fourth Proportional to 294,826.46, 406,871.79 and 160,690.46

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Solution

The fourth proportional to 294,826.46, 406,871.79 and 160,690.46 is: 221,758.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,826.46 : 406,871.79 = 160,690.46 : x
  2. Step 2: Convert to fraction form
    294,826.46/406,871.79 = 160,690.46/x
  3. Step 3: Cross multiply
    294,826.46x = 406,871.79 × 160,690.46
  4. Step 4: Simplify right side
    294,826.46x = 65,380,415,096.12
  5. Step 5: Solve for x
    x = 65,380,415,096.12/294,826.46
  6. Step 6: Final answer
    x = 221,758.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.