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Finding the Fourth Proportional to 304,861.81, 457,316.37 and 91,613.08

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Solution

The fourth proportional to 304,861.81, 457,316.37 and 91,613.08 is: 137,426.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,861.81 : 457,316.37 = 91,613.08 : x
  2. Step 2: Convert to fraction form
    304,861.81/457,316.37 = 91,613.08/x
  3. Step 3: Cross multiply
    304,861.81x = 457,316.37 × 91,613.08
  4. Step 4: Simplify right side
    304,861.81x = 41,896,160,046.83
  5. Step 5: Solve for x
    x = 41,896,160,046.83/304,861.81
  6. Step 6: Final answer
    x = 137,426.73

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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.