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Finding the Fourth Proportional to 392,673.83, 588,465.80 and 178,919.36

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Solution

The fourth proportional to 392,673.83, 588,465.80 and 178,919.36 is: 268,130.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,673.83 : 588,465.80 = 178,919.36 : x
  2. Step 2: Convert to fraction form
    392,673.83/588,465.80 = 178,919.36/x
  3. Step 3: Cross multiply
    392,673.83x = 588,465.80 × 178,919.36
  4. Step 4: Simplify right side
    392,673.83x = 105,287,922,206.81
  5. Step 5: Solve for x
    x = 105,287,922,206.81/392,673.83
  6. Step 6: Final answer
    x = 268,130.73

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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.