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Finding the Fourth Proportional to 294,705.62, 406,516.50 and 179,931.86

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Solution

The fourth proportional to 294,705.62, 406,516.50 and 179,931.86 is: 248,197.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,705.62 : 406,516.50 = 179,931.86 : x
  2. Step 2: Convert to fraction form
    294,705.62/406,516.50 = 179,931.86/x
  3. Step 3: Cross multiply
    294,705.62x = 406,516.50 × 179,931.86
  4. Step 4: Simplify right side
    294,705.62x = 73,145,269,965.69
  5. Step 5: Solve for x
    x = 73,145,269,965.69/294,705.62
  6. Step 6: Final answer
    x = 248,197.74

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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.