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Finding the Fourth Proportional to 393,277, 589,917.66 and 97,789

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Solution

The fourth proportional to 393,277, 589,917.66 and 97,789 is: 146,684.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,277 : 589,917.66 = 97,789 : x
  2. Step 2: Convert to fraction form
    393,277/589,917.66 = 97,789/x
  3. Step 3: Cross multiply
    393,277x = 589,917.66 × 97,789
  4. Step 4: Simplify right side
    393,277x = 57,687,458,053.74
  5. Step 5: Solve for x
    x = 57,687,458,053.74/393,277
  6. Step 6: Final answer
    x = 146,684.04

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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.