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Finding the Fourth Proportional to 393,143.60, 589,715.40 and 168,465.80

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Solution

The fourth proportional to 393,143.60, 589,715.40 and 168,465.80 is: 252,698.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,143.60 : 589,715.40 = 168,465.80 : x
  2. Step 2: Convert to fraction form
    393,143.60/589,715.40 = 168,465.80/x
  3. Step 3: Cross multiply
    393,143.60x = 589,715.40 × 168,465.80
  4. Step 4: Simplify right side
    393,143.60x = 99,346,876,633.32
  5. Step 5: Solve for x
    x = 99,346,876,633.32/393,143.60
  6. Step 6: Final answer
    x = 252,698.70

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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.