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Finding the Fourth Proportional to 280,671.60, 421,007.40 and 168,697.20

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Solution

The fourth proportional to 280,671.60, 421,007.40 and 168,697.20 is: 253,045.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,671.60 : 421,007.40 = 168,697.20 : x
  2. Step 2: Convert to fraction form
    280,671.60/421,007.40 = 168,697.20/x
  3. Step 3: Cross multiply
    280,671.60x = 421,007.40 × 168,697.20
  4. Step 4: Simplify right side
    280,671.60x = 71,022,769,559.28
  5. Step 5: Solve for x
    x = 71,022,769,559.28/280,671.60
  6. Step 6: Final answer
    x = 253,045.80

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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.