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Finding the Fourth Proportional to 294,861.42, 442,320.84 and 117,326.94

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Solution

The fourth proportional to 294,861.42, 442,320.84 and 117,326.94 is: 176,001.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,861.42 : 442,320.84 = 117,326.94 : x
  2. Step 2: Convert to fraction form
    294,861.42/442,320.84 = 117,326.94/x
  3. Step 3: Cross multiply
    294,861.42x = 442,320.84 × 117,326.94
  4. Step 4: Simplify right side
    294,861.42x = 51,896,150,655.43
  5. Step 5: Solve for x
    x = 51,896,150,655.43/294,861.42
  6. Step 6: Final answer
    x = 176,001.83

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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.