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Finding the Fourth Proportional to 321,693.20, 482,656.80 and 111,352.40

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Solution

The fourth proportional to 321,693.20, 482,656.80 and 111,352.40 is: 167,069.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,693.20 : 482,656.80 = 111,352.40 : x
  2. Step 2: Convert to fraction form
    321,693.20/482,656.80 = 111,352.40/x
  3. Step 3: Cross multiply
    321,693.20x = 482,656.80 × 111,352.40
  4. Step 4: Simplify right side
    321,693.20x = 53,744,993,056.32
  5. Step 5: Solve for x
    x = 53,744,993,056.32/321,693.20
  6. Step 6: Final answer
    x = 167,069.10

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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.