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Finding the Fourth Proportional to 329,564.70, 454,781.79 and 186,316.20

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Solution

The fourth proportional to 329,564.70, 454,781.79 and 186,316.20 is: 257,106.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,564.70 : 454,781.79 = 186,316.20 : x
  2. Step 2: Convert to fraction form
    329,564.70/454,781.79 = 186,316.20/x
  3. Step 3: Cross multiply
    329,564.70x = 454,781.79 × 186,316.20
  4. Step 4: Simplify right side
    329,564.70x = 84,733,214,942.00
  5. Step 5: Solve for x
    x = 84,733,214,942.00/329,564.70
  6. Step 6: Final answer
    x = 257,106.46

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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.