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Finding the Fourth Proportional to 329,859.81, 455,174.91 and 186,591.87

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Solution

The fourth proportional to 329,859.81, 455,174.91 and 186,591.87 is: 257,478.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,859.81 : 455,174.91 = 186,591.87 : x
  2. Step 2: Convert to fraction form
    329,859.81/455,174.91 = 186,591.87/x
  3. Step 3: Cross multiply
    329,859.81x = 455,174.91 × 186,591.87
  4. Step 4: Simplify right side
    329,859.81x = 84,931,937,633.98
  5. Step 5: Solve for x
    x = 84,931,937,633.98/329,859.81
  6. Step 6: Final answer
    x = 257,478.89

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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.